96992841461760 has 312 divisors, whose sum is σ = 340806343014384. Its totient is φ = 25510442434560.

The previous prime is 96992841461759. The next prime is 96992841461771. The reversal of 96992841461760 is 6716414829969.

96992841461760 is a `hidden beast` number, since 9 + 6 + 9 + 92 + 8 + 4 + 1 + 461 + 76 + 0 = 666.

It is a super-2 number, since 2×96992841461760² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9851115 + ... + 17059605.

It is an arithmetic number, because the mean of its divisors is an integer number (1092328022482).

Almost surely, 2^{96992841461760} is an apocalyptic number.

96992841461760 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 96992841461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170403171507192).

96992841461760 is an abundant number, since it is smaller than the sum of its proper divisors (243813501552624).

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

96992841461760 is a wasteful number, since it uses less digits than its factorization.

96992841461760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7208599 (or 7208574 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 96992841461760 in words is "ninety-six trillion, nine hundred ninety-two billion, eight hundred forty-one million, four hundred sixty-one thousand, seven hundred sixty".