388820523742560 has 2592 divisors, whose sum is σ = 1749685066391808. Its totient is φ = 78214702325760.

The previous prime is 388820523742559. The next prime is 388820523742571. The reversal of 388820523742560 is 65247325028883.

388820523742560 is a `hidden beast` number, since 3 + 8 + 8 + 8 + 2 + 0 + 5 + 2 + 374 + 256 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 90782282179 + ... + 90782286461.

It is an arithmetic number, because the mean of its divisors is an integer number (675032818824).

Almost surely, 2^{388820523742560} is an apocalyptic number.

388820523742560 is a gapful number since it is divisible by the number (30) 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 388820523742560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874842533195904).

388820523742560 is an abundant number, since it is smaller than the sum of its proper divisors (1360864542649248).

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

388820523742560 is a wasteful number, since it uses less digits than its factorization.

388820523742560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4698 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 388820523742560 in words is "three hundred eighty-eight trillion, eight hundred twenty billion, five hundred twenty-three million, seven hundred forty-two thousand, five hundred sixty".