104627053293840 has 640 divisors, whose sum is σ = 450114573680640. Its totient is φ = 21701635430400.

The previous prime is 104627053293839. The next prime is 104627053293853. The reversal of 104627053293840 is 48392350726401.

104627053293840 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 2 + 70 + 532 + 9 + 38 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92075545 + ... + 93204935.

It is an arithmetic number, because the mean of its divisors is an integer number (703304021376).

It is a 1-persistent number, because it is pandigital, but 2⋅104627053293840 = 209254106587680 is not.

Almost surely, 2^{104627053293840} is an apocalyptic number.

104627053293840 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 104627053293840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225057286840320).

104627053293840 is an abundant number, since it is smaller than the sum of its proper divisors (345487520386800).

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

104627053293840 is a wasteful number, since it uses less digits than its factorization.

104627053293840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129988 (or 1129976 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 104627053293840 in words is "one hundred four trillion, six hundred twenty-seven billion, fifty-three million, two hundred ninety-three thousand, eight hundred forty".