25742102430 has 64 divisors (see below), whose sum is σ = 67449666816. Its totient is φ = 6235680000.

The previous prime is 25742102413. The next prime is 25742102447. The reversal of 25742102430 is 3420124752.

It is an interprime number because it is at equal distance from previous prime (25742102413) and next prime (25742102447).

It is a super-3 number, since 3×25742102430³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406405 + ... + 465455.

It is an arithmetic number, because the mean of its divisors is an integer number (1053901044).

Almost surely, 2^25742102430 is an apocalyptic number.

25742102430 is an abundant number, since it is smaller than the sum of its proper divisors (41707564386).

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

25742102430 is a wasteful number, since it uses less digits than its factorization.

25742102430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60393.

The product of its (nonzero) digits is 13440, while the sum is 30.

The spelling of 25742102430 in words is "twenty-five billion, seven hundred forty-two million, one hundred two thousand, four hundred thirty".