82540975104 has 660 divisors, whose sum is σ = 299530861344. Its totient is φ = 22532235264.

The previous prime is 82540975103. The next prime is 82540975141. The reversal of 82540975104 is 40157904528.

82540975104 is a `hidden beast` number, since 8 + 2 + 5 + 40 + 97 + 510 + 4 = 666.

It is a super-2 number, since 2×82540975104² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82540975104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82540975103) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 93477447 + ... + 93478329.

Almost surely, 2^82540975104 is an apocalyptic number.

82540975104 is a gapful number since it is divisible by the number (84) 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 82540975104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149765430672).

82540975104 is an abundant number, since it is smaller than the sum of its proper divisors (216989886240).

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

82540975104 is a wasteful number, since it uses less digits than its factorization.

82540975104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 82540975104 in words is "eighty-two billion, five hundred forty million, nine hundred seventy-five thousand, one hundred four".