96101121392640 has 3800 divisors, whose sum is σ = 447783523304040. Its totient is φ = 19577098469376.

The previous prime is 96101121392621. The next prime is 96101121392693. The reversal of 96101121392640 is 4629312110169.

96101121392640 is a `hidden beast` number, since 9 + 610 + 1 + 1 + 2 + 1 + 3 + 9 + 26 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1835352981504 + 94265768411136 = 1354752^2 + 9709056^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 3313831772146 + ... + 3313831772174.

Almost surely, 2^{96101121392640} is an apocalyptic number.

96101121392640 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 96101121392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223891761652020).

96101121392640 is an abundant number, since it is smaller than the sum of its proper divisors (351682401911400).

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

96101121392640 is an frugal number, since it uses more digits than its factorization.

96101121392640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 96101121392640 in words is "ninety-six trillion, one hundred one billion, one hundred twenty-one million, three hundred ninety-two thousand, six hundred forty".