100085630054400 has 3120 divisors, whose sum is σ = 414541040246784. Its totient is φ = 23838185226240.

The previous prime is 100085630054363. The next prime is 100085630054461. The reversal of 100085630054400 is 4450036580001.

It is a happy number.

100085630054400 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 8 + 563 + 0 + 0 + 54 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 788075827137 + ... + 788075827263.

Almost surely, 2^{100085630054400} is an apocalyptic number.

100085630054400 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 100085630054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207270520123392).

100085630054400 is an abundant number, since it is smaller than the sum of its proper divisors (314455410192384).

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

100085630054400 is an frugal number, since it uses more digits than its factorization.

100085630054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 100085630054400 in words is "one hundred trillion, eighty-five billion, six hundred thirty million, fifty-four thousand, four hundred".