82156892544 has 768 divisors, whose sum is σ = 273469996800. Its totient is φ = 24455208960.

The previous prime is 82156892507. The next prime is 82156892569. The reversal of 82156892544 is 44529865128.

82156892544 is a `hidden beast` number, since 8 + 2 + 1 + 5 + 6 + 8 + 92 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1346834274 + ... + 1346834334.

It is an arithmetic number, because the mean of its divisors is an integer number (356080725).

Almost surely, 2^82156892544 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 82156892544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136734998400).

82156892544 is an abundant number, since it is smaller than the sum of its proper divisors (191313104256).

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

82156892544 is a wasteful number, since it uses less digits than its factorization.

82156892544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 181 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 82156892544 in words is "eighty-two billion, one hundred fifty-six million, eight hundred ninety-two thousand, five hundred forty-four".