104901668256000 has 2304 divisors, whose sum is σ = 463829267865600. Its totient is φ = 20512555008000.

The previous prime is 104901668255987. The next prime is 104901668256029. The reversal of 104901668256000 is 652866109401.

It is a super-2 number, since 2×104901668256000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15205340551 + ... + 15205347449.

It is an arithmetic number, because the mean of its divisors is an integer number (201314786400).

Almost surely, 2^{104901668256000} is an apocalyptic number.

104901668256000 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 104901668256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231914633932800).

104901668256000 is an abundant number, since it is smaller than the sum of its proper divisors (358927599609600).

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

104901668256000 is an equidigital number, since it uses as much as digits as its factorization.

104901668256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6990 (or 6944 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 104901668256000 in words is "one hundred four trillion, nine hundred one billion, six hundred sixty-eight million, two hundred fifty-six thousand".