4588990012080 has 480 divisors, whose sum is σ = 16281795898368. Its totient is φ = 1200925440000.

The previous prime is 4588990012073. The next prime is 4588990012127. The reversal of 4588990012080 is 802100998854.

4588990012080 is a `hidden beast` number, since 458 + 8 + 9 + 90 + 0 + 1 + 20 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 352965580 + ... + 352978580.

Almost surely, 2^{4588990012080} is an apocalyptic number.

4588990012080 is a gapful number since it is divisible by the number (40) 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 4588990012080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8140897949184).

4588990012080 is an abundant number, since it is smaller than the sum of its proper divisors (11692805886288).

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

4588990012080 is a wasteful number, since it uses less digits than its factorization.

4588990012080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13367 (or 13349 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 4588990012080 in words is "four trillion, five hundred eighty-eight billion, nine hundred ninety million, twelve thousand, eighty".