251498096640 has 768 divisors, whose sum is σ = 1057178304000. Its totient is φ = 55490641920.

The previous prime is 251498096621. The next prime is 251498096657. The reversal of 251498096640 is 46690894152.

251498096640 is a `hidden beast` number, since 2 + 5 + 1 + 498 + 0 + 96 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×251498096640² (a number of 24 digits) contains 22 as substring.

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

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, 56123200 + ... + 56127680.

It is an arithmetic number, because the mean of its divisors is an integer number (1376534250).

Almost surely, 2^251498096640 is an apocalyptic number.

251498096640 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 251498096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528589152000).

251498096640 is an abundant number, since it is smaller than the sum of its proper divisors (805680207360).

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

251498096640 is a wasteful number, since it uses less digits than its factorization.

251498096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4553 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 251498096640 in words is "two hundred fifty-one billion, four hundred ninety-eight million, ninety-six thousand, six hundred forty".