25533374649120 has 672 divisors, whose sum is σ = 97998132439872. Its totient is φ = 6246518777856.

The previous prime is 25533374649031. The next prime is 25533374649131. The reversal of 25533374649120 is 2194647333552.

25533374649120 is a `hidden beast` number, since 2 + 5 + 53 + 3 + 3 + 7 + 464 + 9 + 120 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 247108507 + ... + 247211813.

It is an arithmetic number, because the mean of its divisors is an integer number (145830554226).

Almost surely, 2^{25533374649120} is an apocalyptic number.

25533374649120 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 25533374649120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48999066219936).

25533374649120 is an abundant number, since it is smaller than the sum of its proper divisors (72464757790752).

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

25533374649120 is a wasteful number, since it uses less digits than its factorization.

25533374649120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103516 (or 103493 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 25533374649120 in words is "twenty-five trillion, five hundred thirty-three billion, three hundred seventy-four million, six hundred forty-nine thousand, one hundred twenty".