251978834016 has 288 divisors, whose sum is σ = 920693904480. Its totient is φ = 66455811072.

The previous prime is 251978833999. The next prime is 251978834033. The reversal of 251978834016 is 610438879152.

251978834016 is a `hidden beast` number, since 2 + 519 + 7 + 8 + 83 + 40 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (251978833999) and next prime (251978834033).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 321450 + ... + 779286.

It is an arithmetic number, because the mean of its divisors is an integer number (3196853835).

It is a 1-persistent number, because it is pandigital, but 2⋅251978834016 = 503957668032 is not.

Almost surely, 2^251978834016 is an apocalyptic number.

251978834016 is a gapful number since it is divisible by the number (26) 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 251978834016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460346952240).

251978834016 is an abundant number, since it is smaller than the sum of its proper divisors (668715070464).

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

251978834016 is a wasteful number, since it uses less digits than its factorization.

251978834016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457883 (or 457862 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 251978834016 in words is "two hundred fifty-one billion, nine hundred seventy-eight million, eight hundred thirty-four thousand, sixteen".