95528315520 has 768 divisors, whose sum is σ = 392962752000. Its totient is φ = 21932052480.

The previous prime is 95528315503. The next prime is 95528315527. The reversal of 95528315520 is 2551382559.

It is a happy number.

95528315520 is a `hidden beast` number, since 9 + 552 + 83 + 15 + 5 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (95528315527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32502211 + ... + 32505149.

It is an arithmetic number, because the mean of its divisors is an integer number (511670250).

Almost surely, 2^95528315520 is an apocalyptic number.

95528315520 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 95528315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196481376000).

95528315520 is an abundant number, since it is smaller than the sum of its proper divisors (297434436480).

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

95528315520 is a wasteful number, since it uses less digits than its factorization.

95528315520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 95528315520 in words is "ninety-five billion, five hundred twenty-eight million, three hundred fifteen thousand, five hundred twenty".