104591122352640 has 3840 divisors, whose sum is σ = 501712899747840. Its totient is φ = 20053213839360.

The previous prime is 104591122352609. The next prime is 104591122352737. The reversal of 104591122352640 is 46253221195401.

104591122352640 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 9 + 112 + 2 + 3 + 526 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 81520749439 + ... + 81520750721.

It is an arithmetic number, because the mean of its divisors is an integer number (130654400976).

Almost surely, 2^{104591122352640} is an apocalyptic number.

104591122352640 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 104591122352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250856449873920).

104591122352640 is an abundant number, since it is smaller than the sum of its proper divisors (397121777395200).

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

104591122352640 is a wasteful number, since it uses less digits than its factorization.

104591122352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 104591122352640 in words is "one hundred four trillion, five hundred ninety-one billion, one hundred twenty-two million, three hundred fifty-two thousand, six hundred forty".