100072059302400 has 960 divisors, whose sum is σ = 360457467638400. Its totient is φ = 24377237176320.

The previous prime is 100072059302387. The next prime is 100072059302459. The reversal of 100072059302400 is 4203950270001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18555914104 + ... + 18555919496.

It is an arithmetic number, because the mean of its divisors is an integer number (375476528790).

Almost surely, 2^{100072059302400} is an apocalyptic number.

100072059302400 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 100072059302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180228733819200).

100072059302400 is an abundant number, since it is smaller than the sum of its proper divisors (260385408336000).

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

100072059302400 is a wasteful number, since it uses less digits than its factorization.

100072059302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6349 (or 6328 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 100072059302400 in words is "one hundred trillion, seventy-two billion, fifty-nine million, three hundred two thousand, four hundred".