1057598487440 has 320 divisors, whose sum is σ = 2892500582400. Its totient is φ = 355825612800.

The previous prime is 1057598487311. The next prime is 1057598487467. The reversal of 1057598487440 is 447848957501.

It is a super-2 number, since 2×1057598487440² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81478871 + ... + 81491849.

It is an arithmetic number, because the mean of its divisors is an integer number (9039064320).

Almost surely, 2^{1057598487440} is an apocalyptic number.

1057598487440 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 1057598487440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446250291200).

1057598487440 is an abundant number, since it is smaller than the sum of its proper divisors (1834902094960).

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

1057598487440 is a wasteful number, since it uses less digits than its factorization.

1057598487440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13166 (or 13160 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 62.

The spelling of 1057598487440 in words is "one trillion, fifty-seven billion, five hundred ninety-eight million, four hundred eighty-seven thousand, four hundred forty".