1057954750800 has 240 divisors, whose sum is σ = 3590465320512. Its totient is φ = 265368166400.

The previous prime is 1057954750771. The next prime is 1057954750807. The reversal of 1057954750800 is 80574597501.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1057954750800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057954750807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36440290 + ... + 36469310.

Almost surely, 2^{1057954750800} is an apocalyptic number.

1057954750800 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 1057954750800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795232660256).

1057954750800 is an abundant number, since it is smaller than the sum of its proper divisors (2532510569712).

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

1057954750800 is a wasteful number, since it uses less digits than its factorization.

1057954750800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30846 (or 30835 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 51.

The spelling of 1057954750800 in words is "one trillion, fifty-seven billion, nine hundred fifty-four million, seven hundred fifty thousand, eight hundred".