95652271440 has 300 divisors, whose sum is σ = 365164396212. Its totient is φ = 23188239360.

The previous prime is 95652271439. The next prime is 95652271567. The reversal of 95652271440 is 4417225659.

95652271440 is a `hidden beast` number, since 9 + 56 + 522 + 71 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34199844624 + 61452426816 = 184932^2 + 247896^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 723084 + ... + 845076.

Almost surely, 2^95652271440 is an apocalyptic number.

95652271440 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 95652271440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182582198106).

95652271440 is an abundant number, since it is smaller than the sum of its proper divisors (269512124772).

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

95652271440 is a wasteful number, since it uses less digits than its factorization.

95652271440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122040 (or 122014 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 95652271440 in words is "ninety-five billion, six hundred fifty-two million, two hundred seventy-one thousand, four hundred forty".