100638454250880 has 2560 divisors, whose sum is σ = 454302503424000. Its totient is φ = 21095439482880.

The previous prime is 100638454250869. The next prime is 100638454250921. The reversal of 100638454250880 is 88052454836001.

100638454250880 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 3 + 8 + 4 + 54 + 2 + 508 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 37678191945 + ... + 37678194615.

It is an arithmetic number, because the mean of its divisors is an integer number (177461915400).

Almost surely, 2^{100638454250880} is an apocalyptic number.

100638454250880 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 100638454250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227151251712000).

100638454250880 is an abundant number, since it is smaller than the sum of its proper divisors (353664049173120).

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

100638454250880 is a wasteful number, since it uses less digits than its factorization.

100638454250880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 100638454250880 in words is "one hundred trillion, six hundred thirty-eight billion, four hundred fifty-four million, two hundred fifty thousand, eight hundred eighty".