990403625952 has 576 divisors, whose sum is σ = 3222778890240. Its totient is φ = 294126142464.

The previous prime is 990403625947. The next prime is 990403625969. The reversal of 990403625952 is 259526304099.

It is a happy number.

990403625952 is a `hidden beast` number, since 9 + 9 + 0 + 4 + 0 + 3 + 625 + 9 + 5 + 2 = 666.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a congruent number.

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, 2139100473 + ... + 2139100935.

It is an arithmetic number, because the mean of its divisors is an integer number (5595102240).

Almost surely, 2^990403625952 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 990403625952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611389445120).

990403625952 is an abundant number, since it is smaller than the sum of its proper divisors (2232375264288).

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

990403625952 is a wasteful number, since it uses less digits than its factorization.

990403625952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 990403625952 in words is "nine hundred ninety billion, four hundred three million, six hundred twenty-five thousand, nine hundred fifty-two".