88315476480 has 960 divisors, whose sum is σ = 387546052608. Its totient is φ = 18053038080.

The previous prime is 88315476463. The next prime is 88315476539. The reversal of 88315476480 is 8467451388.

88315476480 is a `hidden beast` number, since 8 + 8 + 3 + 154 + 7 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118862989 + ... + 118863731.

Almost surely, 2^88315476480 is an apocalyptic number.

88315476480 is a gapful number since it is divisible by the number (80) 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 88315476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193773026304).

88315476480 is an abundant number, since it is smaller than the sum of its proper divisors (299230576128).

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

88315476480 is a wasteful number, since it uses less digits than its factorization.

88315476480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 88315476480 in words is "eighty-eight billion, three hundred fifteen million, four hundred seventy-six thousand, four hundred eighty".