95100860400 has 480 divisors, whose sum is σ = 376677557760. Its totient is φ = 19972362240.

The previous prime is 95100860399. The next prime is 95100860401. The reversal of 95100860400 is 406800159.

It is an interprime number because it is at equal distance from previous prime (95100860399) and next prime (95100860401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95100860401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25004899 + ... + 25008701.

It is an arithmetic number, because the mean of its divisors is an integer number (784744912).

Almost surely, 2^95100860400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95100860400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188338778880).

95100860400 is an abundant number, since it is smaller than the sum of its proper divisors (281576697360).

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

95100860400 is a wasteful number, since it uses less digits than its factorization.

95100860400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4073 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 95100860400 in words is "ninety-five billion, one hundred million, eight hundred sixty thousand, four hundred".