1055632953600 has 405 divisors, whose sum is σ = 3905893145077. Its totient is φ = 281304852480.

The previous prime is 1055632953593. The next prime is 1055632953601. The reversal of 1055632953600 is 63592365501.

The square root of 1055632953600 is 1027440.

It is a perfect power (a square), and thus also a powerful number.

1055632953600 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 6 + 32 + 9 + 5 + 3 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 380027863296 + 675605090304 = 616464^2 + 821952^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×1055632953600² (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 a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1055632953601) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 739756087 + ... + 739757513.

Almost surely, 2^{1055632953600} is an apocalyptic number.

1055632953600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1055632953600 is the 1027440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055632953600

1055632953600 is an abundant number, since it is smaller than the sum of its proper divisors (2850260191477).

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

1055632953600 is an frugal number, since it uses more digits than its factorization.

1055632953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 1055632953600 in words is "one trillion, fifty-five billion, six hundred thirty-two million, nine hundred fifty-three thousand, six hundred".