95487275520 has 2560 divisors, whose sum is σ = 475169587200. Its totient is φ = 17581473792.

The previous prime is 95487275509. The next prime is 95487275551. The reversal of 95487275520 is 2557278459.

95487275520 is a `hidden beast` number, since 9 + 5 + 4 + 87 + 2 + 7 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2031644137 + ... + 2031644183.

It is an arithmetic number, because the mean of its divisors is an integer number (185613120).

Almost surely, 2^95487275520 is an apocalyptic number.

95487275520 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 95487275520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237584793600).

95487275520 is an abundant number, since it is smaller than the sum of its proper divisors (379682311680).

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

95487275520 is a wasteful number, since it uses less digits than its factorization.

95487275520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 95487275520 in words is "ninety-five billion, four hundred eighty-seven million, two hundred seventy-five thousand, five hundred twenty".