30891497472000 has 3240 divisors, whose sum is σ = 133808021103120. Its totient is φ = 7094697984000.

The previous prime is 30891497471993. The next prime is 30891497472001. The reversal of 30891497472000 is 27479419803.

30891497472000 is a `hidden beast` number, since 3 + 0 + 8 + 91 + 497 + 47 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30891497472001) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1625868287991 + ... + 1625868288009.

Almost surely, 2^{30891497472000} is an apocalyptic number.

30891497472000 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 30891497472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66904010551560).

30891497472000 is an abundant number, since it is smaller than the sum of its proper divisors (102916523631120).

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

30891497472000 is an frugal number, since it uses more digits than its factorization.

30891497472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 30891497472000 in words is "thirty trillion, eight hundred ninety-one billion, four hundred ninety-seven million, four hundred seventy-two thousand".