94801953960 has 512 divisors, whose sum is σ = 367019827200. Its totient is φ = 21319925760.

The previous prime is 94801953949. The next prime is 94801953977. The reversal of 94801953960 is 6935910849.

94801953960 is a `hidden beast` number, since 9 + 48 + 0 + 1 + 9 + 539 + 60 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 94801953897 and 94801953906.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 164301192 + ... + 164301768.

It is an arithmetic number, because the mean of its divisors is an integer number (716835600).

Almost surely, 2^94801953960 is an apocalyptic number.

94801953960 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 94801953960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183509913600).

94801953960 is an abundant number, since it is smaller than the sum of its proper divisors (272217873240).

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

94801953960 is a wasteful number, since it uses less digits than its factorization.

94801953960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 94801953960 in words is "ninety-four billion, eight hundred one million, nine hundred fifty-three thousand, nine hundred sixty".