251955734880 has 48 divisors (see below), whose sum is σ = 793660566384. Its totient is φ = 67188195840.

The previous prime is 251955734861. The next prime is 251955734929. The reversal of 251955734880 is 88437559152.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×251955734880² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 251955734880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262453411 + ... + 262454370.

It is an arithmetic number, because the mean of its divisors is an integer number (16534595133).

Almost surely, 2^251955734880 is an apocalyptic number.

251955734880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251955734880 is an abundant number, since it is smaller than the sum of its proper divisors (541704831504).

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

251955734880 is a wasteful number, since it uses less digits than its factorization.

251955734880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524907799 (or 524907791 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 57.

The spelling of 251955734880 in words is "two hundred fifty-one billion, nine hundred fifty-five million, seven hundred thirty-four thousand, eight hundred eighty".