30625377152 has 128 divisors (see below), whose sum is σ = 66921465600. Its totient is φ = 13919109120.

The previous prime is 30625377119. The next prime is 30625377157. The reversal of 30625377152 is 25177352603.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×30625377152² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30625377157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4254068 + ... + 4261260.

It is an arithmetic number, because the mean of its divisors is an integer number (522823950).

Almost surely, 2^30625377152 is an apocalyptic number.

30625377152 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 30625377152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33460732800).

30625377152 is an abundant number, since it is smaller than the sum of its proper divisors (36296088448).

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

30625377152 is a wasteful number, since it uses less digits than its factorization.

30625377152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7304 (or 7292 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 41.

The spelling of 30625377152 in words is "thirty billion, six hundred twenty-five million, three hundred seventy-seven thousand, one hundred fifty-two".