95536742400 has 1224 divisors, whose sum is σ = 405669987840. Its totient is φ = 21233664000.

The previous prime is 95536742359. The next prime is 95536742437. The reversal of 95536742400 is 424763559.

95536742400 is a `hidden beast` number, since 9 + 5 + 536 + 74 + 2 + 40 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 3081830385 + ... + 3081830415.

Almost surely, 2^95536742400 is an apocalyptic number.

95536742400 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 95536742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202834993920).

95536742400 is an abundant number, since it is smaller than the sum of its proper divisors (310133245440).

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

95536742400 is a wasteful number, since it uses less digits than its factorization.

95536742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 95536742400 in words is "ninety-five billion, five hundred thirty-six million, seven hundred forty-two thousand, four hundred".