95748040396800 has 4368 divisors, whose sum is σ = 434021355587520. Its totient is φ = 20696452300800.

The previous prime is 95748040396769. The next prime is 95748040396823. The reversal of 95748040396800 is 869304084759.

95748040396800 is a `hidden beast` number, since 9 + 5 + 7 + 480 + 40 + 39 + 6 + 80 + 0 = 666.

It is a super-3 number, since 3×95748040396800³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 5039370547191 + ... + 5039370547209.

Almost surely, 2^{95748040396800} is an apocalyptic number.

95748040396800 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 95748040396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217010677793760).

95748040396800 is an abundant number, since it is smaller than the sum of its proper divisors (338273315190720).

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

95748040396800 is an equidigital number, since it uses as much as digits as its factorization.

95748040396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 95748040396800 in words is "ninety-five trillion, seven hundred forty-eight billion, forty million, three hundred ninety-six thousand, eight hundred".