96181413824760 has 192 divisors, whose sum is σ = 317198063145600. Its totient is φ = 23313922748160.

The previous prime is 96181413824729. The next prime is 96181413824767. The reversal of 96181413824760 is 6742831418169.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 96181413824694 and 96181413824703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96181413824767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122549671 + ... + 123332009.

It is an arithmetic number, because the mean of its divisors is an integer number (1652073245550).

Almost surely, 2^{96181413824760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96181413824760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158599031572800).

96181413824760 is an abundant number, since it is smaller than the sum of its proper divisors (221016649320840).

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

96181413824760 is a wasteful number, since it uses less digits than its factorization.

96181413824760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790842 (or 790827 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 96181413824760 in words is "ninety-six trillion, one hundred eighty-one billion, four hundred thirteen million, eight hundred twenty-four thousand, seven hundred sixty".