251523312480 has 1344 divisors, whose sum is σ = 1026155547648. Its totient is φ = 57689210880.

The previous prime is 251523312461. The next prime is 251523312493. The reversal of 251523312480 is 84213325152.

251523312480 is a `hidden beast` number, since 2 + 5 + 1 + 523 + 3 + 124 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2593023792 + ... + 2593023888.

It is an arithmetic number, because the mean of its divisors is an integer number (763508592).

Almost surely, 2^251523312480 is an apocalyptic number.

251523312480 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 251523312480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513077773824).

251523312480 is an abundant number, since it is smaller than the sum of its proper divisors (774632235168).

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

251523312480 is a wasteful number, since it uses less digits than its factorization.

251523312480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 251523312480 in words is "two hundred fifty-one billion, five hundred twenty-three million, three hundred twelve thousand, four hundred eighty".