82523101196800 has 2880 divisors, whose sum is σ = 265881142517760. Its totient is φ = 25178878771200.

The previous prime is 82523101196743. The next prime is 82523101196801. The reversal of 82523101196800 is 869110132528.

It is a super-2 number, since 2×82523101196800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (82523101196801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 649788198337 + ... + 649788198463.

It is an arithmetic number, because the mean of its divisors is an integer number (92319841152).

Almost surely, 2^{82523101196800} is an apocalyptic number.

82523101196800 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 82523101196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132940571258880).

82523101196800 is an abundant number, since it is smaller than the sum of its proper divisors (183358041320960).

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

82523101196800 is a wasteful number, since it uses less digits than its factorization.

82523101196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The spelling of 82523101196800 in words is "eighty-two trillion, five hundred twenty-three billion, one hundred one million, one hundred ninety-six thousand, eight hundred".