111578790435840 has 4224 divisors, whose sum is σ = 525021896448000. Its totient is φ = 22229352972288.

The previous prime is 111578790435809. The next prime is 111578790435883. The reversal of 111578790435840 is 48534097875111.

111578790435840 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 7 + 8 + 7 + 9 + 0 + 43 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 180256527051 + ... + 180256527669.

Almost surely, 2^{111578790435840} is an apocalyptic number.

111578790435840 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 111578790435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262510948224000).

111578790435840 is an abundant number, since it is smaller than the sum of its proper divisors (413443106012160).

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

111578790435840 is a wasteful number, since it uses less digits than its factorization.

111578790435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 111578790435840 in words is "one hundred eleven trillion, five hundred seventy-eight billion, seven hundred ninety million, four hundred thirty-five thousand, eight hundred forty".