82553155776 has 896 divisors, whose sum is σ = 316933478400. Its totient is φ = 20483850240.

The previous prime is 82553155753. The next prime is 82553155807. The reversal of 82553155776 is 67755135528.

82553155776 is a `hidden beast` number, since 8 + 2 + 5 + 53 + 15 + 577 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 196088046 + ... + 196088466.

It is an arithmetic number, because the mean of its divisors is an integer number (353720400).

Almost surely, 2^82553155776 is an apocalyptic number.

82553155776 is a gapful number since it is divisible by the number (86) 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 82553155776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158466739200).

82553155776 is an abundant number, since it is smaller than the sum of its proper divisors (234380322624).

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

82553155776 is a wasteful number, since it uses less digits than its factorization.

82553155776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 518 counting only the distinct ones).

The product of its digits is 8820000, while the sum is 54.

The spelling of 82553155776 in words is "eighty-two billion, five hundred fifty-three million, one hundred fifty-five thousand, seven hundred seventy-six".