100070858764800 has 6720 divisors, whose sum is σ = 491949673205760. Its totient is φ = 19564167168000.

The previous prime is 100070858764783. The next prime is 100070858764801. The reversal of 100070858764800 is 8467858070001.

It is a happy number.

100070858764800 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 7 + 0 + 85 + 87 + 6 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

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

It is not an unprimeable number, because it can be changed into a prime (100070858764801) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 1266719731161 + ... + 1266719731239.

It is an arithmetic number, because the mean of its divisors is an integer number (73206796608).

Almost surely, 2^{100070858764800} is an apocalyptic number.

100070858764800 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 100070858764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245974836602880).

100070858764800 is an abundant number, since it is smaller than the sum of its proper divisors (391878814440960).

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

100070858764800 is an equidigital number, since it uses as much as digits as its factorization.

100070858764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 100070858764800 in words is "one hundred trillion, seventy billion, eight hundred fifty-eight million, seven hundred sixty-four thousand, eight hundred".