9995418090 has 256 divisors, whose sum is σ = 32945356800. Its totient is φ = 2104206336.

The previous prime is 9995418089. The next prime is 9995418143. The reversal of 9995418090 is 908145999.

9995418090 is a `hidden beast` number, since 9 + 9 + 9 + 541 + 8 + 0 + 90 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1506801 + ... + 1513419.

It is an arithmetic number, because the mean of its divisors is an integer number (128692800).

Almost surely, 2^9995418090 is an apocalyptic number.

9995418090 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9995418090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16472678400).

9995418090 is an abundant number, since it is smaller than the sum of its proper divisors (22949938710).

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

9995418090 is a wasteful number, since it uses less digits than its factorization.

9995418090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6706 (or 6700 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The square root of 9995418090 is about 99977.0878251612. The cubic root of 9995418090 is about 2154.1055922352.

The spelling of 9995418090 in words is "nine billion, nine hundred ninety-five million, four hundred eighteen thousand, ninety".