85908552480 has 96 divisors (see below), whose sum is σ = 300679948800. Its totient is φ = 22908946176.

The previous prime is 85908552479. The next prime is 85908552493. The reversal of 85908552480 is 8425580958.

It is a happy number.

85908552480 is a `hidden beast` number, since 8 + 5 + 9 + 0 + 8 + 552 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 9938800 + ... + 9947439.

It is an arithmetic number, because the mean of its divisors is an integer number (3132082800).

Almost surely, 2^85908552480 is an apocalyptic number.

85908552480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85908552480 is an abundant number, since it is smaller than the sum of its proper divisors (214771396320).

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

85908552480 is a wasteful number, since it uses less digits than its factorization.

85908552480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19886263 (or 19886249 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 85908552480 in words is "eighty-five billion, nine hundred eight million, five hundred fifty-two thousand, four hundred eighty".