390896505888 has 576 divisors, whose sum is σ = 1293074399232. Its totient is φ = 102825676800.

The previous prime is 390896505859. The next prime is 390896505889. The reversal of 390896505888 is 888505698093.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (390896505889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 339614113 + ... + 339615263.

It is an arithmetic number, because the mean of its divisors is an integer number (2244920832).

Almost surely, 2^390896505888 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 390896505888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646537199616).

390896505888 is an abundant number, since it is smaller than the sum of its proper divisors (902177893344).

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

390896505888 is a wasteful number, since it uses less digits than its factorization.

390896505888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 69.

The spelling of 390896505888 in words is "three hundred ninety billion, eight hundred ninety-six million, five hundred five thousand, eight hundred eighty-eight".