96371638272 has 1152 divisors, whose sum is σ = 380721650400. Its totient is φ = 24078974976.

The previous prime is 96371638247. The next prime is 96371638309. The reversal of 96371638272 is 27283617369.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5072191479 + ... + 5072191497.

Almost surely, 2^96371638272 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 96371638272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190360825200).

96371638272 is an abundant number, since it is smaller than the sum of its proper divisors (284350012128).

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

96371638272 is an equidigital number, since it uses as much as digits as its factorization.

96371638272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 44 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 96371638272 in words is "ninety-six billion, three hundred seventy-one million, six hundred thirty-eight thousand, two hundred seventy-two".