96101530417152 has 1152 divisors, whose sum is σ = 319192415942400. Its totient is φ = 28393974005760.

The previous prime is 96101530417103. The next prime is 96101530417177. The reversal of 96101530417152 is 25171403510169.

96101530417152 is a `hidden beast` number, since 9 + 6 + 1 + 0 + 1 + 530 + 41 + 71 + 5 + 2 = 666.

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

It is a super-2 number, since 2×96101530417152² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 96101530417098 and 96101530417107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80961693103 + ... + 80961694289.

It is an arithmetic number, because the mean of its divisors is an integer number (277076749950).

Almost surely, 2^{96101530417152} 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 96101530417152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159596207971200).

96101530417152 is an abundant number, since it is smaller than the sum of its proper divisors (223090885525248).

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

96101530417152 is a wasteful number, since it uses less digits than its factorization.

96101530417152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 96101530417152 in words is "ninety-six trillion, one hundred one billion, five hundred thirty million, four hundred seventeen thousand, one hundred fifty-two".