25381031155200 has 720 divisors, whose sum is σ = 104335257517920. Its totient is φ = 5771893800960.

The previous prime is 25381031155189. The next prime is 25381031155219. The reversal of 25381031155200 is 255113018352.

25381031155200 is a `hidden beast` number, since 2 + 5 + 3 + 8 + 10 + 3 + 115 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 158780916 + ... + 158940684.

It is an arithmetic number, because the mean of its divisors is an integer number (144910079886).

Almost surely, 2^{25381031155200} is an apocalyptic number.

25381031155200 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 25381031155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52167628758960).

25381031155200 is an abundant number, since it is smaller than the sum of its proper divisors (78954226362720).

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

25381031155200 is a wasteful number, since it uses less digits than its factorization.

25381031155200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160007 (or 159983 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

It can be divided in two parts, 25381031 and 155200, that added together give a triangular number (25536231 = T₇₁₄₆).

The spelling of 25381031155200 in words is "twenty-five trillion, three hundred eighty-one billion, thirty-one million, one hundred fifty-five thousand, two hundred".