95151777460 has 96 divisors (see below), whose sum is σ = 217085756832. Its totient is φ = 34891284480.

The previous prime is 95151777449. The next prime is 95151777467. The reversal of 95151777460 is 6477715159.

95151777460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 15453970596 + 79697806864 = 124314^2 + 282308^2 .

It is a junction number, because it is equal to n+sod(n) for n = 95151777398 and 95151777407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95151777467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9097594 + ... + 9108046.

It is an arithmetic number, because the mean of its divisors is an integer number (2261309967).

Almost surely, 2^95151777460 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 95151777460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108542878416).

95151777460 is an abundant number, since it is smaller than the sum of its proper divisors (121933979372).

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

95151777460 is a wasteful number, since it uses less digits than its factorization.

95151777460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11173 (or 11171 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 52.

The spelling of 95151777460 in words is "ninety-five billion, one hundred fifty-one million, seven hundred seventy-seven thousand, four hundred sixty".