95709081600 has 780 divisors, whose sum is σ = 387127956600. Its totient is φ = 23180083200.

The previous prime is 95709081593. The next prime is 95709081607. The reversal of 95709081600 is 618090759.

It is an interprime number because it is at equal distance from previous prime (95709081593) and next prime (95709081607).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95709081607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 91237876 + ... + 91238924.

Almost surely, 2^95709081600 is an apocalyptic number.

95709081600 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 95709081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193563978300).

95709081600 is an abundant number, since it is smaller than the sum of its proper divisors (291418875000).

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

95709081600 is a wasteful number, since it uses less digits than its factorization.

95709081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 95709081600 in words is "ninety-five billion, seven hundred nine million, eighty-one thousand, six hundred".