30752980992 has 150 divisors (see below), whose sum is σ = 91880437418. Its totient is φ = 10250551296.

The previous prime is 30752980981. The next prime is 30752981003. The reversal of 30752980992 is 29908925703.

30752980992 is a `hidden beast` number, since 30 + 7 + 529 + 80 + 9 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (30752980981) and next prime (30752981003).

It can be written as a sum of positive squares in only one way, i.e., 16945790976 + 13807190016 = 130176^2 + 117504^2 .

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 9 ways as a sum of consecutive naturals, for example, 1315518 + ... + 1338690.

Almost surely, 2^30752980992 is an apocalyptic number.

30752980992 is a gapful number since it is divisible by the number (32) 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 30752980992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45940218709).

30752980992 is an abundant number, since it is smaller than the sum of its proper divisors (61127456426).

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

30752980992 is an frugal number, since it uses more digits than its factorization.

30752980992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23213 (or 23178 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

It can be divided in two parts, 307529 and 80992, that added together give a triangular number (388521 = T₈₈₁).

The spelling of 30752980992 in words is "thirty billion, seven hundred fifty-two million, nine hundred eighty thousand, nine hundred ninety-two".