95871047126400 has 7680 divisors, whose sum is σ = 488711920435200. Its totient is φ = 17933819904000.

The previous prime is 95871047126399. The next prime is 95871047126401. The reversal of 95871047126400 is 462174017859.

95871047126400 is a `hidden beast` number, since 9 + 5 + 8 + 7 + 104 + 7 + 126 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (95871047126399) and next prime (95871047126401).

It is a super-2 number, since 2×95871047126400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95871047126401) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 731840054335 + ... + 731840054465.

It is an arithmetic number, because the mean of its divisors is an integer number (63634364640).

Almost surely, 2^{95871047126400} is an apocalyptic number.

95871047126400 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 95871047126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244355960217600).

95871047126400 is an abundant number, since it is smaller than the sum of its proper divisors (392840873308800).

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

95871047126400 is a wasteful number, since it uses less digits than its factorization.

95871047126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 95871047126400 in words is "ninety-five trillion, eight hundred seventy-one billion, forty-seven million, one hundred twenty-six thousand, four hundred".