95372742729600 has 1536 divisors, whose sum is σ = 420795924480000. Its totient is φ = 20607838248960.

The previous prime is 95372742729577. The next prime is 95372742729637. The reversal of 95372742729600 is 692724727359.

95372742729600 is a `hidden beast` number, since 9 + 5 + 3 + 7 + 274 + 272 + 96 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5504276137 + ... + 5504293463.

It is an arithmetic number, because the mean of its divisors is an integer number (273955680000).

Almost surely, 2^{95372742729600} is an apocalyptic number.

95372742729600 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 95372742729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210397962240000).

95372742729600 is an abundant number, since it is smaller than the sum of its proper divisors (325423181750400).

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

95372742729600 is a wasteful number, since it uses less digits than its factorization.

95372742729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17865 (or 17842 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 95372742729600 in words is "ninety-five trillion, three hundred seventy-two billion, seven hundred forty-two million, seven hundred twenty-nine thousand, six hundred".