94525872480 has 1344 divisors, whose sum is σ = 403965455040. Its totient is φ = 20639121408.

The previous prime is 94525872383. The next prime is 94525872509. The reversal of 94525872480 is 8427852549.

94525872480 is a `hidden beast` number, since 9 + 4 + 52 + 587 + 2 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 489771264 + ... + 489771456.

It is an arithmetic number, because the mean of its divisors is an integer number (300569535).

Almost surely, 2^94525872480 is an apocalyptic number.

94525872480 is a gapful number since it is divisible by the number (90) 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 94525872480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201982727520).

94525872480 is an abundant number, since it is smaller than the sum of its proper divisors (309439582560).

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

94525872480 is a wasteful number, since it uses less digits than its factorization.

94525872480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 94525872480 in words is "ninety-four billion, five hundred twenty-five million, eight hundred seventy-two thousand, four hundred eighty".