25035764000 has 384 divisors, whose sum is σ = 71010680832. Its totient is φ = 8592998400.

The previous prime is 25035763999. The next prime is 25035764009. The reversal of 25035764000 is 46753052.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (25035764009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112267889 + ... + 112268111.

It is an arithmetic number, because the mean of its divisors is an integer number (184923648).

Almost surely, 2^25035764000 is an apocalyptic number.

25035764000 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 25035764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35505340416).

25035764000 is an abundant number, since it is smaller than the sum of its proper divisors (45974916832).

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

25035764000 is a wasteful number, since it uses less digits than its factorization.

25035764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The spelling of 25035764000 in words is "twenty-five billion, thirty-five million, seven hundred sixty-four thousand".