5812690802688 has 1920 divisors, whose sum is σ = 22775328576000. Its totient is φ = 1463132160000.

The previous prime is 5812690802671. The next prime is 5812690802717. The reversal of 5812690802688 is 8862080962185.

5812690802688 is a `hidden beast` number, since 581 + 26 + 9 + 0 + 8 + 0 + 26 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23158130563 + ... + 23158130813.

It is an arithmetic number, because the mean of its divisors is an integer number (11862150300).

Almost surely, 2^{5812690802688} 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 5812690802688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11387664288000).

5812690802688 is an abundant number, since it is smaller than the sum of its proper divisors (16962637773312).

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

5812690802688 is a wasteful number, since it uses less digits than its factorization.

5812690802688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 5812690802688 in words is "five trillion, eight hundred twelve billion, six hundred ninety million, eight hundred two thousand, six hundred eighty-eight".