93404870527104 has 2048 divisors, whose sum is σ = 318537990144000. Its totient is φ = 26806671360000.

The previous prime is 93404870527063. The next prime is 93404870527193. The reversal of 93404870527104 is 40172507840439.

93404870527104 is a `hidden beast` number, since 9 + 3 + 4 + 0 + 4 + 8 + 7 + 0 + 527 + 104 = 666.

It is a super-2 number, since 2×93404870527104² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

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, 489030735649 + ... + 489030735839.

It is an arithmetic number, because the mean of its divisors is an integer number (155536128000).

Almost surely, 2^{93404870527104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93404870527104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159268995072000).

93404870527104 is an abundant number, since it is smaller than the sum of its proper divisors (225133119616896).

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

93404870527104 is a wasteful number, since it uses less digits than its factorization.

93404870527104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 93404870527104 in words is "ninety-three trillion, four hundred four billion, eight hundred seventy million, five hundred twenty-seven thousand, one hundred four".