25361074391040 has 1008 divisors, whose sum is σ = 92460456679500. Its totient is φ = 6673077043200.

The previous prime is 25361074390997. The next prime is 25361074391041. The reversal of 25361074391040 is 4019347016352.

25361074391040 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 107 + 439 + 104 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23301550900224 + 2059523490816 = 4827168^2 + 1435104^2 .

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

It is not an unprimeable number, because it can be changed into a prime (25361074391041) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 167954134965 + ... + 167954135115.

Almost surely, 2^{25361074391040} is an apocalyptic number.

25361074391040 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 25361074391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46230228339750).

25361074391040 is an abundant number, since it is smaller than the sum of its proper divisors (67099382288460).

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

25361074391040 is an frugal number, since it uses more digits than its factorization.

25361074391040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 25361074391040 in words is "twenty-five trillion, three hundred sixty-one billion, seventy-four million, three hundred ninety-one thousand, forty".