255557467152 has 640 divisors, whose sum is σ = 877143859200. Its totient is φ = 70481664000.

The previous prime is 255557467093. The next prime is 255557467157. The reversal of 255557467152 is 251764755552.

255557467152 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 574 + 67 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×255557467152² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (255557467157) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 247872877 + ... + 247873907.

It is an arithmetic number, because the mean of its divisors is an integer number (1370537280).

Almost surely, 2^255557467152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255557467152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438571929600).

255557467152 is an abundant number, since it is smaller than the sum of its proper divisors (621586392048).

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

255557467152 is a wasteful number, since it uses less digits than its factorization.

255557467152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1192 counting only the distinct ones).

The product of its digits is 14700000, while the sum is 54.

The spelling of 255557467152 in words is "two hundred fifty-five billion, five hundred fifty-seven million, four hundred sixty-seven thousand, one hundred fifty-two".