25429696393920 has 448 divisors, whose sum is σ = 105216813305856. Its totient is φ = 5049775226880.

The previous prime is 25429696393889. The next prime is 25429696393939. The reversal of 25429696393920 is 2939369692452.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×25429696393920³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7076376 + ... + 10046615.

It is an arithmetic number, because the mean of its divisors is an integer number (234858958272).

Almost surely, 2^{25429696393920} is an apocalyptic number.

25429696393920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25429696393920 is an abundant number, since it is smaller than the sum of its proper divisors (79787116911936).

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

25429696393920 is a wasteful number, since it uses less digits than its factorization.

25429696393920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17123048 (or 17123038 counting only the distinct ones).

The product of its (nonzero) digits is 340122240, while the sum is 69.

The spelling of 25429696393920 in words is "twenty-five trillion, four hundred twenty-nine billion, six hundred ninety-six million, three hundred ninety-three thousand, nine hundred twenty".