5387920312320 has 4320 divisors, whose sum is σ = 26723908411200. Its totient is φ = 1013610184704.

The previous prime is 5387920312277. The next prime is 5387920312349. The reversal of 5387920312320 is 232130297835.

5387920312320 is a `hidden beast` number, since 5 + 3 + 8 + 7 + 9 + 2 + 0 + 312 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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 359 ways as a sum of consecutive naturals, for example, 283574753271 + ... + 283574753289.

It is an arithmetic number, because the mean of its divisors is an integer number (6186089910).

Almost surely, 2^{5387920312320} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5387920312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13361954205600).

5387920312320 is an abundant number, since it is smaller than the sum of its proper divisors (21335988098880).

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

5387920312320 is a wasteful number, since it uses less digits than its factorization.

5387920312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 5387920312320 in words is "five trillion, three hundred eighty-seven billion, nine hundred twenty million, three hundred twelve thousand, three hundred twenty".