388891882874880 has 7680 divisors, whose sum is σ = 1943951353344000. Its totient is φ = 71915871928320.

The previous prime is 388891882874843. The next prime is 388891882874897. The reversal of 388891882874880 is 88478288198883.

388891882874880 is a `hidden beast` number, since 38 + 8 + 8 + 9 + 18 + 8 + 2 + 87 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a Smith number, since the sum of its digits (90) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1513197987712 + ... + 1513197987968.

It is an arithmetic number, because the mean of its divisors is an integer number (253118665800).

Almost surely, 2^{388891882874880} is an apocalyptic number.

388891882874880 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 388891882874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971975676672000).

388891882874880 is an abundant number, since it is smaller than the sum of its proper divisors (1555059470469120).

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

388891882874880 is a wasteful number, since it uses less digits than its factorization.

388891882874880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 25367150592, while the sum is 90.

The spelling of 388891882874880 in words is "three hundred eighty-eight trillion, eight hundred ninety-one billion, eight hundred eighty-two million, eight hundred seventy-four thousand, eight hundred eighty".