87094149120 has 360 divisors, whose sum is σ = 329394854880. Its totient is φ = 21111767040.

The previous prime is 87094149113. The next prime is 87094149139. The reversal of 87094149120 is 2194149078.

It is a happy number.

87094149120 is a `hidden beast` number, since 8 + 70 + 94 + 1 + 491 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8104711 + ... + 8115449.

It is an arithmetic number, because the mean of its divisors is an integer number (914985708).

Almost surely, 2^87094149120 is an apocalyptic number.

87094149120 is a gapful number since it is divisible by the number (80) 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 87094149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164697427440).

87094149120 is an abundant number, since it is smaller than the sum of its proper divisors (242300705760).

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

87094149120 is a wasteful number, since it uses less digits than its factorization.

87094149120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10789 (or 10760 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 87094149120 in words is "eighty-seven billion, ninety-four million, one hundred forty-nine thousand, one hundred twenty".