94115157120 has 320 divisors, whose sum is σ = 336818116800. Its totient is φ = 25043945472.

The previous prime is 94115157113. The next prime is 94115157131. The reversal of 94115157120 is 2175151149.

94115157120 is a `hidden beast` number, since 9 + 4 + 11 + 51 + 571 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

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 39 ways as a sum of consecutive naturals, for example, 28354821 + ... + 28358139.

It is an arithmetic number, because the mean of its divisors is an integer number (1052556615).

Almost surely, 2^94115157120 is an apocalyptic number.

94115157120 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 94115157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168409058400).

94115157120 is an abundant number, since it is smaller than the sum of its proper divisors (242702959680).

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

94115157120 is a wasteful number, since it uses less digits than its factorization.

94115157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3897 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The spelling of 94115157120 in words is "ninety-four billion, one hundred fifteen million, one hundred fifty-seven thousand, one hundred twenty".