25342020220608 has 1568 divisors, whose sum is σ = 95790375059456. Its totient is φ = 6470848290816.

The previous prime is 25342020220603. The next prime is 25342020220619. The reversal of 25342020220608 is 80602202024352.

25342020220608 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 2 + 0 + 20 + 2 + 20 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (25342020220603) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 23185745310 + ... + 23185746402.

Almost surely, 2^{25342020220608} is an apocalyptic number.

25342020220608 is a gapful number since it is divisible by the number (28) 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 25342020220608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47895187529728).

25342020220608 is an abundant number, since it is smaller than the sum of its proper divisors (70448354838848).

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

25342020220608 is a wasteful number, since it uses less digits than its factorization.

25342020220608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 25342020220608 in words is "twenty-five trillion, three hundred forty-two billion, twenty million, two hundred twenty thousand, six hundred eight".