108840645250560 has 1440 divisors, whose sum is σ = 407701296946944. Its totient is φ = 27841314816000.

The previous prime is 108840645250537. The next prime is 108840645250573. The reversal of 108840645250560 is 65052546048801.

108840645250560 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 4 + 0 + 64 + 525 + 0 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 108840645250497 and 108840645250506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42007194865 + ... + 42007197455.

Almost surely, 2^{108840645250560} is an apocalyptic number.

108840645250560 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 108840645250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203850648473472).

108840645250560 is an abundant number, since it is smaller than the sum of its proper divisors (298860651696384).

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

108840645250560 is an frugal number, since it uses more digits than its factorization.

108840645250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 108840645250560 in words is "one hundred eight trillion, eight hundred forty billion, six hundred forty-five million, two hundred fifty thousand, five hundred sixty".