25550670683142 has 768 divisors, whose sum is σ = 69723971665920. Its totient is φ = 6669139276800.

The previous prime is 25550670682973. The next prime is 25550670683149. The reversal of 25550670683142 is 24138607605552.

25550670683142 is a `hidden beast` number, since 2 + 5 + 5 + 506 + 7 + 0 + 68 + 31 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25550670683149) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23376642348 + ... + 23376643440.

It is an arithmetic number, because the mean of its divisors is an integer number (90786421440).

Almost surely, 2^{25550670683142} is an apocalyptic number.

25550670683142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 25550670683142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34861985832960).

25550670683142 is an abundant number, since it is smaller than the sum of its proper divisors (44173300982778).

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

25550670683142 is a wasteful number, since it uses less digits than its factorization.

25550670683142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 25550670683142 in words is "twenty-five trillion, five hundred fifty billion, six hundred seventy million, six hundred eighty-three thousand, one hundred forty-two".