25049037106380 has 768 divisors, whose sum is σ = 90203026636800. Its totient is φ = 5064469401600.

The previous prime is 25049037106369. The next prime is 25049037106393. The reversal of 25049037106380 is 8360173094052.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1005044599 + ... + 1005069521.

It is an arithmetic number, because the mean of its divisors is an integer number (117451857600).

It is a 1-persistent number, because it is pandigital, but 2⋅25049037106380 = 50098074212760 is not.

Almost surely, 2^{25049037106380} is an apocalyptic number.

25049037106380 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 25049037106380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45101513318400).

25049037106380 is an abundant number, since it is smaller than the sum of its proper divisors (65153989530420).

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

25049037106380 is a wasteful number, since it uses less digits than its factorization.

25049037106380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25134 (or 25132 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 25049037106380 in words is "twenty-five trillion, forty-nine billion, thirty-seven million, one hundred six thousand, three hundred eighty".