30990498739200 has 4224 divisors, whose sum is σ = 156217041469440. Its totient is φ = 5811653836800.

The previous prime is 30990498739183. The next prime is 30990498739229. The reversal of 30990498739200 is 293789409903.

30990498739200 is a `hidden beast` number, since 3 + 0 + 9 + 90 + 498 + 7 + 39 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a super-2 number, since 2×30990498739200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 32518885924 + ... + 32518886876.

Almost surely, 2^{30990498739200} is an apocalyptic number.

30990498739200 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 30990498739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78108520734720).

30990498739200 is an abundant number, since it is smaller than the sum of its proper divisors (125226542730240).

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

30990498739200 is a wasteful number, since it uses less digits than its factorization.

30990498739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 30990498739200 in words is "thirty trillion, nine hundred ninety billion, four hundred ninety-eight million, seven hundred thirty-nine thousand, two hundred".