95201900640 has 1536 divisors, whose sum is σ = 438939648000. Its totient is φ = 18695577600.

The previous prime is 95201900603. The next prime is 95201900671. The reversal of 95201900640 is 4600910259.

95201900640 is a `hidden beast` number, since 9 + 5 + 2 + 0 + 1 + 9 + 0 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 95201900595 and 95201900604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 684905691 + ... + 684905829.

It is an arithmetic number, because the mean of its divisors is an integer number (285768000).

Almost surely, 2^95201900640 is an apocalyptic number.

95201900640 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 95201900640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219469824000).

95201900640 is an abundant number, since it is smaller than the sum of its proper divisors (343737747360).

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

95201900640 is a wasteful number, since it uses less digits than its factorization.

95201900640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 95201900640 in words is "ninety-five billion, two hundred one million, nine hundred thousand, six hundred forty".