100082993536800 has 2880 divisors, whose sum is σ = 402468640358400. Its totient is φ = 24131717406720.

The previous prime is 100082993536717. The next prime is 100082993536817. The reversal of 100082993536800 is 8635399280001.

100082993536800 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 8 + 29 + 9 + 3 + 536 + 80 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 479 ways as a sum of consecutive naturals, for example, 448802661489 + ... + 448802661711.

It is an arithmetic number, because the mean of its divisors is an integer number (139746055680).

Almost surely, 2^{100082993536800} is an apocalyptic number.

100082993536800 is a gapful number since it is divisible by the number (10) 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 100082993536800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201234320179200).

100082993536800 is an abundant number, since it is smaller than the sum of its proper divisors (302385646821600).

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

100082993536800 is a wasteful number, since it uses less digits than its factorization.

100082993536800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 100082993536800 in words is "one hundred trillion, eighty-two billion, nine hundred ninety-three million, five hundred thirty-six thousand, eight hundred".