95401037952 has 384 divisors, whose sum is σ = 316495408320. Its totient is φ = 28358553600.

The previous prime is 95401037929. The next prime is 95401037957. The reversal of 95401037952 is 25973010459.

It is a happy number.

95401037952 is a `hidden beast` number, since 9 + 540 + 10 + 3 + 7 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 95401037898 and 95401037907.

It is not an unprimeable number, because it can be changed into a prime (95401037957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18131002 + ... + 18136262.

Almost surely, 2^95401037952 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 95401037952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158247704160).

95401037952 is an abundant number, since it is smaller than the sum of its proper divisors (221094370368).

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

95401037952 is a wasteful number, since it uses less digits than its factorization.

95401037952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5354 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 95401037952 in words is "ninety-five billion, four hundred one million, thirty-seven thousand, nine hundred fifty-two".