5251077578088 has 640 divisors, whose sum is σ = 15651692052480. Its totient is φ = 1643005969920.

The previous prime is 5251077578081. The next prime is 5251077578113. The reversal of 5251077578088 is 8808757701525.

5251077578088 is a `hidden beast` number, since 5 + 2 + 51 + 0 + 7 + 7 + 578 + 0 + 8 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (5251077578081) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23132500231 + ... + 23132500457.

It is an arithmetic number, because the mean of its divisors is an integer number (24455768832).

Almost surely, 2^{5251077578088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5251077578088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7825846026240).

5251077578088 is an abundant number, since it is smaller than the sum of its proper divisors (10400614474392).

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

5251077578088 is a wasteful number, since it uses less digits than its factorization.

5251077578088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 43904000, while the sum is 63.

The spelling of 5251077578088 in words is "five trillion, two hundred fifty-one billion, seventy-seven million, five hundred seventy-eight thousand, eighty-eight".