87933080148480 has 4480 divisors, whose sum is σ = 404153041121280. Its totient is φ = 17878638919680.

The previous prime is 87933080148467. The next prime is 87933080148509. The reversal of 87933080148480 is 8484108033978.

87933080148480 is a `hidden beast` number, since 8 + 7 + 9 + 3 + 3 + 0 + 8 + 0 + 148 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 416744455575 + ... + 416744455785.

Almost surely, 2^{87933080148480} is an apocalyptic number.

87933080148480 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 87933080148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202076520560640).

87933080148480 is an abundant number, since it is smaller than the sum of its proper divisors (316219960972800).

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

87933080148480 is a wasteful number, since it uses less digits than its factorization.

87933080148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 87933080148480 in words is "eighty-seven trillion, nine hundred thirty-three billion, eighty million, one hundred forty-eight thousand, four hundred eighty".