25188970950 has 960 divisors, whose sum is σ = 90018238464. Its totient is φ = 5132160000.

The previous prime is 25188970883. The next prime is 25188970957. The reversal of 25188970950 is 5907988152.

25188970950 is a `hidden beast` number, since 2 + 518 + 8 + 9 + 70 + 9 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25188970957) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 412933920 + ... + 412933980.

Almost surely, 2^25188970950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25188970950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45009119232).

25188970950 is an abundant number, since it is smaller than the sum of its proper divisors (64829267514).

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

25188970950 is a wasteful number, since it uses less digits than its factorization.

25188970950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 25188970950 in words is "twenty-five billion, one hundred eighty-eight million, nine hundred seventy thousand, nine hundred fifty".