1057738435200 has 480 divisors, whose sum is σ = 3933209776320. Its totient is φ = 279901440000.

The previous prime is 1057738435181. The next prime is 1057738435241. The reversal of 1057738435200 is 25348377501.

1057738435200 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 7 + 3 + 8 + 435 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1057738435200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 59 ways as a sum of consecutive naturals, for example, 33939625 + ... + 33970775.

It is an arithmetic number, because the mean of its divisors is an integer number (8194187034).

Almost surely, 2^{1057738435200} is an apocalyptic number.

1057738435200 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 1057738435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966604888160).

1057738435200 is an abundant number, since it is smaller than the sum of its proper divisors (2875471341120).

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

1057738435200 is a wasteful number, since it uses less digits than its factorization.

1057738435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31318 (or 31292 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 1057738435200 in words is "one trillion, fifty-seven billion, seven hundred thirty-eight million, four hundred thirty-five thousand, two hundred".