251233521970416 has 320 divisors, whose sum is σ = 712437097107456. Its totient is φ = 75945738240000.

The previous prime is 251233521970397. The next prime is 251233521970421. The reversal of 251233521970416 is 614079125332152.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26521004656 + ... + 26521014128.

Almost surely, 2^{251233521970416} 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 251233521970416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356218548553728).

251233521970416 is an abundant number, since it is smaller than the sum of its proper divisors (461203575137040).

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

251233521970416 is a wasteful number, since it uses less digits than its factorization.

251233521970416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13960 (or 13954 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 251233521970416 in words is "two hundred fifty-one trillion, two hundred thirty-three billion, five hundred twenty-one million, nine hundred seventy thousand, four hundred sixteen".