1156119552900 has 405 divisors, whose sum is σ = 4062562414911. Its totient is φ = 284273608320.

The previous prime is 1156119552893. The next prime is 1156119552919. The reversal of 1156119552900 is 92559116511.

The square root of 1156119552900 is 1075230.

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

1156119552900 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 1 + 1 + 9 + 552 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 297991524996 + 858128027904 = 545886^2 + 926352^2 .

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

It is a super-2 number, since 2×1156119552900² (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 polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1258018641 + ... + 1258019559.

Almost surely, 2^{1156119552900} is an apocalyptic number.

1156119552900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1156119552900 is the 1075230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1156119552900

1156119552900 is an abundant number, since it is smaller than the sum of its proper divisors (2906442862011).

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

1156119552900 is an equidigital number, since it uses as much as digits as its factorization.

1156119552900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 45.

The spelling of 1156119552900 in words is "one trillion, one hundred fifty-six billion, one hundred nineteen million, five hundred fifty-two thousand, nine hundred".