108393151680 has 1344 divisors, whose sum is σ = 456772792320. Its totient is φ = 23290675200.

The previous prime is 108393151679. The next prime is 108393151747. The reversal of 108393151680 is 86151393801.

It is a happy number.

108393151680 is a `hidden beast` number, since 108 + 393 + 151 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×108393151680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 690402162 + ... + 690402318.

Almost surely, 2^108393151680 is an apocalyptic number.

108393151680 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 108393151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228386396160).

108393151680 is an abundant number, since it is smaller than the sum of its proper divisors (348379640640).

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

108393151680 is a wasteful number, since it uses less digits than its factorization.

108393151680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 108393151680 in words is "one hundred eight billion, three hundred ninety-three million, one hundred fifty-one thousand, six hundred eighty".