95986788480 has 896 divisors, whose sum is σ = 382887518400. Its totient is φ = 22802964480.

The previous prime is 95986788479. The next prime is 95986788497. The reversal of 95986788480 is 8488768959.

95986788480 is a `hidden beast` number, since 9 + 5 + 9 + 8 + 67 + 88 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 95986788399 and 95986788408.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 302797282 + ... + 302797598.

Almost surely, 2^95986788480 is an apocalyptic number.

95986788480 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 95986788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191443759200).

95986788480 is an abundant number, since it is smaller than the sum of its proper divisors (286900729920).

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

95986788480 is a wasteful number, since it uses less digits than its factorization.

95986788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 95986788480 in words is "ninety-five billion, nine hundred eighty-six million, seven hundred eighty-eight thousand, four hundred eighty".