55764461025 has 243 divisors, whose sum is σ = 126543770379. Its totient is φ = 23395357440.

The previous prime is 55764461017. The next prime is 55764461057. The reversal of 55764461025 is 52016446755.

The square root of 55764461025 is 236145.

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

55764461025 is a `hidden beast` number, since 5 + 5 + 7 + 6 + 4 + 4 + 610 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 30799197009 + 24965264016 = 175497^2 + 158004^2 .

It is not a de Polignac number, because 55764461025 - 2³ = 55764461017 is a prime.

It is a super-2 number, since 2×55764461025² (a number of 22 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 242 ways as a sum of consecutive naturals, for example, 322337839 + ... + 322338011.

Almost surely, 2^55764461025 is an apocalyptic number.

55764461025 is the 236145-th square number.

55764461025 is the 118073-rd centered octagonal number.

It is an amenable number.

55764461025 is an abundant number, since it is smaller than the sum of its proper divisors (70779309354).

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

55764461025 is a wasteful number, since it uses less digits than its factorization.

55764461025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 55764461025 in words is "fifty-five billion, seven hundred sixty-four million, four hundred sixty-one thousand, twenty-five".