82690502400 has 1080 divisors, whose sum is σ = 353573401104. Its totient is φ = 18844876800.

The previous prime is 82690502399. The next prime is 82690502423. The reversal of 82690502400 is 420509628.

It is a happy number.

82690502400 is a `hidden beast` number, since 8 + 26 + 90 + 502 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 119 ways as a sum of consecutive naturals, for example, 96940374 + ... + 96941226.

Almost surely, 2^82690502400 is an apocalyptic number.

82690502400 is a gapful number since it is divisible by the number (80) 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 82690502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176786700552).

82690502400 is an abundant number, since it is smaller than the sum of its proper divisors (270882898704).

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

82690502400 is a wasteful number, since it uses less digits than its factorization.

82690502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 82690502400 in words is "eighty-two billion, six hundred ninety million, five hundred two thousand, four hundred".