96879670272000 has 5040 divisors, whose sum is σ = 464189258837304. Its totient is φ = 20028653568000.

The previous prime is 96879670271983. The next prime is 96879670272017. The reversal of 96879670272000 is 27207697869.

It is an interprime number because it is at equal distance from previous prime (96879670271983) and next prime (96879670272017).

It can be written as a sum of positive squares in 4 ways, for example, as 58873333026816 + 38006337245184 = 7672896^2 + 6164928^2 .

It is a tau number, because it is divible by the number of its divisors (5040).

It is a super-2 number, since 2×96879670272000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 491774975902 + ... + 491774976098.

Almost surely, 2^{96879670272000} is an apocalyptic number.

96879670272000 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 96879670272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232094629418652).

96879670272000 is an abundant number, since it is smaller than the sum of its proper divisors (367309588565304).

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

96879670272000 is a wasteful number, since it uses less digits than its factorization.

96879670272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 96879670272000 in words is "ninety-six trillion, eight hundred seventy-nine billion, six hundred seventy million, two hundred seventy-two thousand".