25387570577664 has 81 divisors (see below), whose sum is σ = 73199322045759. Its totient is φ = 8462442908160.

The previous prime is 25387570577653. The next prime is 25387570577671. The reversal of 25387570577664 is 46677507578352.

The square root of 25387570577664 is 5038608.

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

25387570577664 is a `hidden beast` number, since 2 + 5 + 387 + 5 + 70 + 57 + 76 + 64 = 666.

It is a super-3 number, since 3×25387570577664³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 25387570577592 and 25387570577601.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 241800699 + ... + 241905669.

Almost surely, 2^{25387570577664} is an apocalyptic number.

25387570577664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

25387570577664 is the 5038608-th square number.

It is an amenable number.

25387570577664 is an abundant number, since it is smaller than the sum of its proper divisors (47811751468095).

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

25387570577664 is an frugal number, since it uses more digits than its factorization.

25387570577664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209964 (or 104976 counting only the distinct ones).

The product of its (nonzero) digits is 2074464000, while the sum is 72.

The spelling of 25387570577664 in words is "twenty-five trillion, three hundred eighty-seven billion, five hundred seventy million, five hundred seventy-seven thousand, six hundred sixty-four".