30955556268000 has 2304 divisors, whose sum is σ = 141395640422400. Its totient is φ = 6439871692800.

The previous prime is 30955556267989. The next prime is 30955556268031. The reversal of 30955556268000 is 86265555903.

30955556268000 is a `hidden beast` number, since 3 + 0 + 9 + 5 + 5 + 5 + 5 + 626 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×30955556268000² (a number of 28 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 9326770341 + ... + 9326773659.

It is an arithmetic number, because the mean of its divisors is an integer number (61369635600).

Almost surely, 2^{30955556268000} is an apocalyptic number.

30955556268000 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 30955556268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70697820211200).

30955556268000 is an abundant number, since it is smaller than the sum of its proper divisors (110440084154400).

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

30955556268000 is a wasteful number, since it uses less digits than its factorization.

30955556268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3459 (or 3422 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 54.

The spelling of 30955556268000 in words is "thirty trillion, nine hundred fifty-five billion, five hundred fifty-six million, two hundred sixty-eight thousand".