251878120435200 has 5760 divisors, whose sum is σ = 1154483908300800. Its totient is φ = 47860678656000.

The previous prime is 251878120435147. The next prime is 251878120435211. The reversal of 251878120435200 is 2534021878152.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 251878120435200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 546373362970 + ... + 546373363430.

It is an arithmetic number, because the mean of its divisors is an integer number (200431234080).

Almost surely, 2^{251878120435200} is an apocalyptic number.

251878120435200 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 251878120435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577241954150400).

251878120435200 is an abundant number, since it is smaller than the sum of its proper divisors (902605787865600).

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

251878120435200 is a wasteful number, since it uses less digits than its factorization.

251878120435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 251878120435200 in words is "two hundred fifty-one trillion, eight hundred seventy-eight billion, one hundred twenty million, four hundred thirty-five thousand, two hundred".