82259654400 has 1296 divisors, whose sum is σ = 388590628608. Its totient is φ = 16072704000.

The previous prime is 82259654387. The next prime is 82259654401. The reversal of 82259654400 is 445695228.

82259654400 is a `hidden beast` number, since 8 + 2 + 2 + 596 + 54 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82259654401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75397855 + ... + 75398945.

It is an arithmetic number, because the mean of its divisors is an integer number (299838448).

Almost surely, 2^82259654400 is an apocalyptic number.

82259654400 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 82259654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194295314304).

82259654400 is an abundant number, since it is smaller than the sum of its proper divisors (306330974208).

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

82259654400 is a wasteful number, since it uses less digits than its factorization.

82259654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 82259654400 in words is "eighty-two billion, two hundred fifty-nine million, six hundred fifty-four thousand, four hundred".