73875869513856 has 1280 divisors, whose sum is σ = 249937052112000. Its totient is φ = 21520583884800.

The previous prime is 73875869513717. The next prime is 73875869513899. The reversal of 73875869513856 is 65831596857837.

73875869513856 is a `hidden beast` number, since 7 + 3 + 8 + 75 + 86 + 95 + 1 + 385 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 86002175955 + ... + 86002176813.

Almost surely, 2^{73875869513856} is an apocalyptic number.

73875869513856 is a gapful number since it is divisible by the number (76) 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 73875869513856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124968526056000).

73875869513856 is an abundant number, since it is smaller than the sum of its proper divisors (176061182598144).

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

73875869513856 is a wasteful number, since it uses less digits than its factorization.

73875869513856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1382 counting only the distinct ones).

The product of its digits is 9144576000, while the sum is 81.

The spelling of 73875869513856 in words is "seventy-three trillion, eight hundred seventy-five billion, eight hundred sixty-nine million, five hundred thirteen thousand, eight hundred fifty-six".