108007251655680 has 1408 divisors, whose sum is σ = 422337302016000. Its totient is φ = 26013892608000.

The previous prime is 108007251655679. The next prime is 108007251655703. The reversal of 108007251655680 is 86556152700801.

108007251655680 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 0 + 7 + 2 + 5 + 1 + 6 + 556 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21815237205 + ... + 21815242155.

Almost surely, 2^{108007251655680} is an apocalyptic number.

108007251655680 is a gapful number since it is divisible by the number (10) 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 108007251655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211168651008000).

108007251655680 is an abundant number, since it is smaller than the sum of its proper divisors (314330050360320).

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

108007251655680 is a wasteful number, since it uses less digits than its factorization.

108007251655680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5258 (or 5234 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 108007251655680 in words is "one hundred eight trillion, seven billion, two hundred fifty-one million, six hundred fifty-five thousand, six hundred eighty".