82902693888 has 960 divisors, whose sum is σ = 304432128000. Its totient is φ = 22434693120.

The previous prime is 82902693793. The next prime is 82902693943. The reversal of 82902693888 is 88839620928.

82902693888 is a `hidden beast` number, since 8 + 290 + 269 + 3 + 8 + 88 = 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 79 ways as a sum of consecutive naturals, for example, 1763887081 + ... + 1763887127.

It is an arithmetic number, because the mean of its divisors is an integer number (317116800).

Almost surely, 2^82902693888 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 82902693888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152216064000).

82902693888 is an abundant number, since it is smaller than the sum of its proper divisors (221529434112).

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

82902693888 is an equidigital number, since it uses as much as digits as its factorization.

82902693888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 82902693888 in words is "eighty-two billion, nine hundred two million, six hundred ninety-three thousand, eight hundred eighty-eight".