25211346930 has 256 divisors, whose sum is σ = 84468510720. Its totient is φ = 5198169600.

The previous prime is 25211346913. The next prime is 25211346947. The reversal of 25211346930 is 3964311252.

25211346930 is a `hidden beast` number, since 2 + 52 + 113 + 469 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (25211346913) and next prime (25211346947).

It is a super-2 number, since 2×25211346930² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2718862 + ... + 2728118.

It is an arithmetic number, because the mean of its divisors is an integer number (329955120).

Almost surely, 2^25211346930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25211346930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42234255360).

25211346930 is an abundant number, since it is smaller than the sum of its proper divisors (59257163790).

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

25211346930 is a wasteful number, since it uses less digits than its factorization.

25211346930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9422 (or 9416 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 25211346930 in words is "twenty-five billion, two hundred eleven million, three hundred forty-six thousand, nine hundred thirty".