25623603551088 has 320 divisors, whose sum is σ = 75871983882240. Its totient is φ = 8276519347200.

The previous prime is 25623603551083. The next prime is 25623603551137. The reversal of 25623603551088 is 88015530632652.

It is a happy number.

25623603551088 is a `hidden beast` number, since 2 + 5 + 6 + 2 + 3 + 6 + 0 + 3 + 551 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25623603551083) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 510334081 + ... + 510384287.

It is an arithmetic number, because the mean of its divisors is an integer number (237099949632).

Almost surely, 2^{25623603551088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25623603551088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37935991941120).

25623603551088 is an abundant number, since it is smaller than the sum of its proper divisors (50248380331152).

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

25623603551088 is a wasteful number, since it uses less digits than its factorization.

25623603551088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50573 (or 50561 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 25623603551088 in words is "twenty-five trillion, six hundred twenty-three billion, six hundred three million, five hundred fifty-one thousand, eighty-eight".