25133420640 has 96 divisors (see below), whose sum is σ = 80285458176. Its totient is φ = 6607838720.

The previous prime is 25133420623. The next prime is 25133420677. The reversal of 25133420640 is 4602433152.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 25133420598 and 25133420607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334662 + ... + 402821.

It is an arithmetic number, because the mean of its divisors is an integer number (836306856).

Almost surely, 2^25133420640 is an apocalyptic number.

25133420640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25133420640 is an abundant number, since it is smaller than the sum of its proper divisors (55152037536).

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

25133420640 is a wasteful number, since it uses less digits than its factorization.

25133420640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737572 (or 737564 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 25133420640 its reverse (4602433152), we get a palindrome (29735853792).

The spelling of 25133420640 in words is "twenty-five billion, one hundred thirty-three million, four hundred twenty thousand, six hundred forty".