100479650052096 has 576 divisors, whose sum is σ = 350515197396000. Its totient is φ = 28708408737792.

The previous prime is 100479650052071. The next prime is 100479650052097. The reversal of 100479650052096 is 690250056974001.

100479650052096 is a `hidden beast` number, since 1 + 0 + 0 + 47 + 9 + 6 + 500 + 5 + 2 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100479650052097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219240910 + ... + 219698738.

Almost surely, 2^{100479650052096} is an apocalyptic number.

100479650052096 is a gapful number since it is divisible by the number (16) 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 100479650052096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175257598698000).

100479650052096 is an abundant number, since it is smaller than the sum of its proper divisors (250035547343904).

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

100479650052096 is an frugal number, since it uses more digits than its factorization.

100479650052096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457886 (or 457841 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 100479650052096 in words is "one hundred trillion, four hundred seventy-nine billion, six hundred fifty million, fifty-two thousand, ninety-six".