95126814720 has 520 divisors, whose sum is σ = 389768276304. Its totient is φ = 21743271936.

The previous prime is 95126814709. The next prime is 95126814767. The reversal of 95126814720 is 2741862159.

It is a Jordan-Polya number, since it can be written as 9! ⋅ (2!)¹⁸.

95126814720 is a `hidden beast` number, since 9 + 512 + 68 + 1 + 4 + 72 + 0 = 666.

95126814720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×95126814720² (a number of 23 digits) contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 13589544957 + ... + 13589544963.

Almost surely, 2^95126814720 is an apocalyptic number.

95126814720 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 95126814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194884138152).

95126814720 is an abundant number, since it is smaller than the sum of its proper divisors (294641461584).

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

95126814720 is an frugal number, since it uses more digits than its factorization.

95126814720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 17 counting only the distinct ones).

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

The spelling of 95126814720 in words is "ninety-five billion, one hundred twenty-six million, eight hundred fourteen thousand, seven hundred twenty".