96265134400 has 84 divisors (see below), whose sum is σ = 237046061340. Its totient is φ = 38477824000.

The previous prime is 96265134359. The next prime is 96265134479. The reversal of 96265134400 is 443156269.

It can be written as a sum of positive squares in 6 ways, for example, as 4242698496 + 92022435904 = 65136^2 + 303352^2 .

It is a super-2 number, since 2×96265134400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2233050 + ... + 2275750.

Almost surely, 2^96265134400 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 96265134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118523030670).

96265134400 is an abundant number, since it is smaller than the sum of its proper divisors (140780926940).

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

96265134400 is a wasteful number, since it uses less digits than its factorization.

96265134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44132 (or 44117 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 96265134400 in words is "ninety-six billion, two hundred sixty-five million, one hundred thirty-four thousand, four hundred".