251960623488 has 512 divisors, whose sum is σ = 882376704000. Its totient is φ = 69262387200.

The previous prime is 251960623487. The next prime is 251960623513. The reversal of 251960623488 is 884326069152.

251960623488 is a `hidden beast` number, since 2 + 5 + 1 + 9 + 6 + 0 + 623 + 4 + 8 + 8 = 666.

It is a super-2 number, since 2×251960623488² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251960623487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143239953 + ... + 143241711.

It is an arithmetic number, because the mean of its divisors is an integer number (1723392000).

Almost surely, 2^251960623488 is an apocalyptic number.

251960623488 is a gapful number since it is divisible by the number (28) 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 251960623488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441188352000).

251960623488 is an abundant number, since it is smaller than the sum of its proper divisors (630416080512).

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

251960623488 is a wasteful number, since it uses less digits than its factorization.

251960623488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 251960623488 in words is "two hundred fifty-one billion, nine hundred sixty million, six hundred twenty-three thousand, four hundred eighty-eight".