251282458560 has 896 divisors, whose sum is σ = 973799424000. Its totient is φ = 54813265920.

The previous prime is 251282458543. The next prime is 251282458631. The reversal of 251282458560 is 65854282152.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1051390921 + ... + 1051391159.

Almost surely, 2^251282458560 is an apocalyptic number.

251282458560 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 251282458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486899712000).

251282458560 is an abundant number, since it is smaller than the sum of its proper divisors (722516965440).

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

251282458560 is a wasteful number, since it uses less digits than its factorization.

251282458560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 48.

The spelling of 251282458560 in words is "two hundred fifty-one billion, two hundred eighty-two million, four hundred fifty-eight thousand, five hundred sixty".