1255572864 has 576 divisors, whose sum is σ = 4761666000. Its totient is φ = 314302464.

The previous prime is 1255572793. The next prime is 1255572869. The reversal of 1255572864 is 4682755521.

1255572864 is a `hidden beast` number, since 12 + 5 + 5 + 572 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1255572869) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21280867 + ... + 21280925.

Almost surely, 2^1255572864 is an apocalyptic number.

1255572864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1255572864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380833000).

1255572864 is an abundant number, since it is smaller than the sum of its proper divisors (3506093136).

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

1255572864 is a wasteful number, since it uses less digits than its factorization.

1255572864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 1255572864 is about 35434.0636111638. The cubic root of 1255572864 is about 1078.8158214097.

The spelling of 1255572864 in words is "one billion, two hundred fifty-five million, five hundred seventy-two thousand, eight hundred sixty-four".