87393905047680 has 384 divisors, whose sum is σ = 349936758541440. Its totient is φ = 18159772139520.

The previous prime is 87393905047661. The next prime is 87393905047681. The reversal of 87393905047680 is 8674050939378.

87393905047680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (87393905047681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25243689 + ... + 28496168.

It is an arithmetic number, because the mean of its divisors is an integer number (911293642035).

Almost surely, 2^{87393905047680} is an apocalyptic number.

87393905047680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87393905047680 is an abundant number, since it is smaller than the sum of its proper divisors (262542853493760).

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

87393905047680 is a wasteful number, since it uses less digits than its factorization.

87393905047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53739908 (or 53739885 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 69.

The spelling of 87393905047680 in words is "eighty-seven trillion, three hundred ninety-three billion, nine hundred five million, forty-seven thousand, six hundred eighty".