30242970965088 has 768 divisors, whose sum is σ = 112429949184000. Its totient is φ = 7699586678784.

The previous prime is 30242970965083. The next prime is 30242970965153. The reversal of 30242970965088 is 88056907924203.

30242970965088 is a `hidden beast` number, since 3 + 0 + 2 + 429 + 70 + 9 + 65 + 0 + 88 = 666.

It is a super-2 number, since 2×30242970965088² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30242970965083) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3776119228 + ... + 3776127236.

It is an arithmetic number, because the mean of its divisors is an integer number (146393163000).

Almost surely, 2^{30242970965088} is an apocalyptic number.

30242970965088 is a gapful number since it is divisible by the number (38) 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 30242970965088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56214974592000).

30242970965088 is an abundant number, since it is smaller than the sum of its proper divisors (82186978218912).

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

30242970965088 is a wasteful number, since it uses less digits than its factorization.

30242970965088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10004 (or 9990 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 30242970965088 in words is "thirty trillion, two hundred forty-two billion, nine hundred seventy million, nine hundred sixty-five thousand, eighty-eight".