96813814860 has 288 divisors, whose sum is σ = 360499776000. Its totient is φ = 20963940480.

The previous prime is 96813814849. The next prime is 96813814883. The reversal of 96813814860 is 6841831869.

96813814860 is a `hidden beast` number, since 9 + 6 + 81 + 3 + 81 + 486 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 96813814797 and 96813814806.

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, 1131795 + ... + 1214325.

Almost surely, 2^96813814860 is an apocalyptic number.

96813814860 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 96813814860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180249888000).

96813814860 is an abundant number, since it is smaller than the sum of its proper divisors (263685961140).

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

96813814860 is a wasteful number, since it uses less digits than its factorization.

96813814860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82586 (or 82567 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 96813814860 in words is "ninety-six billion, eight hundred thirteen million, eight hundred fourteen thousand, eight hundred sixty".