251045550400000 has 480 divisors, whose sum is σ = 631495332711936. Its totient is φ = 99694694400000.

The previous prime is 251045550399991. The next prime is 251045550400093. The reversal of 251045550400000 is 4055540152.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175188799284 + ... + 175188800716.

Almost surely, 2^{251045550400000} is an apocalyptic number.

251045550400000 is a gapful number since it is divisible by the number (20) 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 251045550400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315747666355968).

251045550400000 is an abundant number, since it is smaller than the sum of its proper divisors (380449782311936).

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

251045550400000 is an frugal number, since it uses more digits than its factorization.

251045550400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 31.

The spelling of 251045550400000 in words is "two hundred fifty-one trillion, forty-five billion, five hundred fifty million, four hundred thousand".