95116748400 has 180 divisors, whose sum is σ = 344433209328. Its totient is φ = 24261642240.

The previous prime is 95116748393. The next prime is 95116748401. The reversal of 95116748400 is 484761159.

95116748400 is a `hidden beast` number, since 9 + 5 + 1 + 167 + 484 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95116748401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 491577 + ... + 657176.

Almost surely, 2^95116748400 is an apocalyptic number.

95116748400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

95116748400 is an abundant number, since it is smaller than the sum of its proper divisors (249316460928).

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

95116748400 is a wasteful number, since it uses less digits than its factorization.

95116748400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148800 (or 1148786 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 95116748400 in words is "ninety-five billion, one hundred sixteen million, seven hundred forty-eight thousand, four hundred".