1057610211840 has 1920 divisors, whose sum is σ = 4804492492800. Its totient is φ = 208780001280.

The previous prime is 1057610211811. The next prime is 1057610211869. The reversal of 1057610211840 is 481120167501.

1057610211840 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 610 + 21 + 18 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1057610211811) and next prime (1057610211869).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×1057610211840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1057610211795 and 1057610211804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5537226145 + ... + 5537226335.

It is an arithmetic number, because the mean of its divisors is an integer number (2502339840).

Almost surely, 2^{1057610211840} is an apocalyptic number.

1057610211840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057610211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402246246400).

1057610211840 is an abundant number, since it is smaller than the sum of its proper divisors (3746882280960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1057610211840 is a wasteful number, since it uses less digits than its factorization.

1057610211840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 1057610211840 in words is "one trillion, fifty-seven billion, six hundred ten million, two hundred eleven thousand, eight hundred forty".