25781046000 has 160 divisors (see below), whose sum is σ = 85146175296. Its totient is φ = 6707200000.

The previous prime is 25781045993. The next prime is 25781046001. The reversal of 25781046000 is 64018752.

It is a super-3 number, since 3×25781046000³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25781046001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193600 + ... + 298400.

Almost surely, 2^25781046000 is an apocalyptic number.

25781046000 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 25781046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42573087648).

25781046000 is an abundant number, since it is smaller than the sum of its proper divisors (59365129296).

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

25781046000 is a wasteful number, since it uses less digits than its factorization.

25781046000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104868 (or 104852 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

It can be divided in two parts, 257810 and 46000, that added together give a triangular number (303810 = T₇₇₉).

The spelling of 25781046000 in words is "twenty-five billion, seven hundred eighty-one million, forty-six thousand".