25402052000 has 288 divisors, whose sum is σ = 68955410160. Its totient is φ = 9189273600.

The previous prime is 25402051999. The next prime is 25402052017. The reversal of 25402052000 is 25020452.

It can be written as a sum of positive squares in 24 ways, for example, as 19915983376 + 5486068624 = 141124^2 + 74068^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35827646 + ... + 35828354.

Almost surely, 2^25402052000 is an apocalyptic number.

25402052000 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 25402052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34477705080).

25402052000 is an abundant number, since it is smaller than the sum of its proper divisors (43553358160).

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

25402052000 is a wasteful number, since it uses less digits than its factorization.

25402052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

Adding to 25402052000 its reverse (25020452), we get a palindrome (25427072452).

The spelling of 25402052000 in words is "twenty-five billion, four hundred two million, fifty-two thousand".