100086038968320 has 960 divisors, whose sum is σ = 383397398223840. Its totient is φ = 24884495253504.

The previous prime is 100086038968297. The next prime is 100086038968369. The reversal of 100086038968320 is 23869830680001.

It is a happy number.

100086038968320 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 8 + 603 + 8 + 9 + 6 + 8 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 79 ways as a sum of consecutive naturals, for example, 1508718192 + ... + 1508784528.

Almost surely, 2^{100086038968320} is an apocalyptic number.

100086038968320 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 100086038968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191698699111920).

100086038968320 is an abundant number, since it is smaller than the sum of its proper divisors (283311359255520).

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

100086038968320 is a wasteful number, since it uses less digits than its factorization.

100086038968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66500 (or 66471 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 100086038968320 in words is "one hundred trillion, eighty-six billion, thirty-eight million, nine hundred sixty-eight thousand, three hundred twenty".