30156252672 has 800 divisors, whose sum is σ = 109757162592. Its totient is φ = 7283146752.

The previous prime is 30156252661. The next prime is 30156252673. The reversal of 30156252672 is 27625265103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 30156252672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30156252673) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 815033838 + ... + 815033874.

Almost surely, 2^30156252672 is an apocalyptic number.

30156252672 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 30156252672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54878581296).

30156252672 is an abundant number, since it is smaller than the sum of its proper divisors (79600909920).

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

30156252672 is an equidigital number, since it uses as much as digits as its factorization.

30156252672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 30156252672 in words is "thirty billion, one hundred fifty-six million, two hundred fifty-two thousand, six hundred seventy-two".