104571678240 has 192 divisors, whose sum is σ = 366213294720. Its totient is φ = 27869598720.

The previous prime is 104571678223. The next prime is 104571678257. The reversal of 104571678240 is 42876175401.

104571678240 is a `hidden beast` number, since 1 + 0 + 4 + 571 + 6 + 78 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104571678223) and next prime (104571678257).

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 31 ways as a sum of consecutive naturals, for example, 8681502 + ... + 8693538.

It is an arithmetic number, because the mean of its divisors is an integer number (1907360910).

Almost surely, 2^104571678240 is an apocalyptic number.

104571678240 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 104571678240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183106647360).

104571678240 is an abundant number, since it is smaller than the sum of its proper divisors (261641616480).

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

104571678240 is a wasteful number, since it uses less digits than its factorization.

104571678240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14072 (or 14058 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 104571678240 in words is "one hundred four billion, five hundred seventy-one million, six hundred seventy-eight thousand, two hundred forty".