1157797520100 has 729 divisors, whose sum is σ = 4106673314289. Its totient is φ = 272703974400.

The previous prime is 1157797520071. The next prime is 1157797520107. The reversal of 1157797520100 is 10257977511.

The square root of 1157797520100 is 1076010.

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

1157797520100 is a `hidden beast` number, since 1 + 1 + 57 + 79 + 7 + 520 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1150603766244 + 7193753856 = 1072662^2 + 84816^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1157797520107) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 13008960856 + ... + 13008960944.

Almost surely, 2^{1157797520100} is an apocalyptic number.

1157797520100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1157797520100 is the 1076010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157797520100

1157797520100 is an abundant number, since it is smaller than the sum of its proper divisors (2948875794189).

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

1157797520100 is a wasteful number, since it uses less digits than its factorization.

1157797520100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 154350, while the sum is 45.

The spelling of 1157797520100 in words is "one trillion, one hundred fifty-seven billion, seven hundred ninety-seven million, five hundred twenty thousand, one hundred".