25072213158720 has 2688 divisors, whose sum is σ = 116519917409280. Its totient is φ = 4952115118080.

The previous prime is 25072213158683. The next prime is 25072213158743. The reversal of 25072213158720 is 2785131227052.

It is a happy number.

25072213158720 is a `hidden beast` number, since 2 + 50 + 7 + 2 + 2 + 13 + 1 + 587 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 54386579290 + ... + 54386579750.

It is an arithmetic number, because the mean of its divisors is an integer number (43348183560).

Almost surely, 2^{25072213158720} is an apocalyptic number.

25072213158720 is a gapful number since it is divisible by the number (20) 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 25072213158720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58259958704640).

25072213158720 is an abundant number, since it is smaller than the sum of its proper divisors (91447704250560).

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

25072213158720 is a wasteful number, since it uses less digits than its factorization.

25072213158720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 25072213158720 in words is "twenty-five trillion, seventy-two billion, two hundred thirteen million, one hundred fifty-eight thousand, seven hundred twenty".