25550661629376 has 896 divisors, whose sum is σ = 89323624857600. Its totient is φ = 7086322298880.

The previous prime is 25550661629333. The next prime is 25550661629411. The reversal of 25550661629376 is 67392616605552.

It is a happy number.

25550661629376 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 0 + 6 + 616 + 2 + 9 + 3 + 7 + 6 = 666.

It is a super-2 number, since 2×25550661629376² (a number of 28 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 1874995875 + ... + 1875009501.

It is an arithmetic number, because the mean of its divisors is an integer number (99691545600).

Almost surely, 2^{25550661629376} is an apocalyptic number.

25550661629376 is a gapful number since it is divisible by the number (26) 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 25550661629376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44661812428800).

25550661629376 is an abundant number, since it is smaller than the sum of its proper divisors (63772963228224).

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

25550661629376 is a wasteful number, since it uses less digits than its factorization.

25550661629376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13894 (or 13878 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 63.

The spelling of 25550661629376 in words is "twenty-five trillion, five hundred fifty billion, six hundred sixty-one million, six hundred twenty-nine thousand, three hundred seventy-six".