1155893765625 has 189 divisors, whose sum is σ = 2167882465593. Its totient is φ = 593469000000.

The previous prime is 1155893765573. The next prime is 1155893765633. The reversal of 1155893765625 is 5265673985511.

The square root of 1155893765625 is 1075125.

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

1155893765625 is a `hidden beast` number, since 1 + 1 + 558 + 9 + 3 + 7 + 6 + 56 + 25 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 306591441849 + 849302323776 = 553707^2 + 921576^2 .

It is not a de Polignac number, because 1155893765625 - 2²¹ = 1155891668473 is a prime.

Its product of digits (68040000) is a multiple of the sum of its prime factors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 18949078095 + ... + 18949078155.

Almost surely, 2^{1155893765625} is an apocalyptic number.

1155893765625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1155893765625 is the 1075125-th square number.

1155893765625 is the 537563-rd centered octagonal number.

It is an amenable number.

1155893765625 is a deficient number, since it is larger than the sum of its proper divisors (1011988699968).

1155893765625 is an frugal number, since it uses more digits than its factorization.

1155893765625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 116 counting only the distinct ones).

The product of its digits is 68040000, while the sum is 63.

The spelling of 1155893765625 in words is "one trillion, one hundred fifty-five billion, eight hundred ninety-three million, seven hundred sixty-five thousand, six hundred twenty-five".