95013762480 has 960 divisors, whose sum is σ = 417033308160. Its totient is φ = 19361617920.

The previous prime is 95013762463. The next prime is 95013762491. The reversal of 95013762480 is 8426731059.

95013762480 is a `hidden beast` number, since 9 + 5 + 0 + 13 + 7 + 624 + 8 + 0 = 666.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 188893909 + ... + 188894411.

It is an arithmetic number, because the mean of its divisors is an integer number (434409696).

It is a 1-persistent number, because it is pandigital, but 2⋅95013762480 = 190027524960 is not.

Almost surely, 2^95013762480 is an apocalyptic number.

95013762480 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 95013762480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208516654080).

95013762480 is an abundant number, since it is smaller than the sum of its proper divisors (322019545680).

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

95013762480 is a wasteful number, since it uses less digits than its factorization.

95013762480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 95013762480 in words is "ninety-five billion, thirteen million, seven hundred sixty-two thousand, four hundred eighty".