251116550563200 has 768 divisors, whose sum is σ = 954296092569600. Its totient is φ = 56850653675520.

The previous prime is 251116550563181. The next prime is 251116550563279. The reversal of 251116550563200 is 2365055611152.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29394418129 + ... + 29394426671.

It is an arithmetic number, because the mean of its divisors is an integer number (1242573037200).

Almost surely, 2^{251116550563200} is an apocalyptic number.

251116550563200 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 251116550563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477148046284800).

251116550563200 is an abundant number, since it is smaller than the sum of its proper divisors (703179542006400).

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

251116550563200 is a wasteful number, since it uses less digits than its factorization.

251116550563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12699 (or 12682 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 42.

The spelling of 251116550563200 in words is "two hundred fifty-one trillion, one hundred sixteen billion, five hundred fifty million, five hundred sixty-three thousand, two hundred".