111345764590080 has 640 divisors, whose sum is σ = 419942789798400. Its totient is φ = 27867655176192.

The previous prime is 111345764590057. The next prime is 111345764590103. The reversal of 111345764590080 is 80095467543111.

111345764590080 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 45 + 7 + 6 + 4 + 590 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (111345764590057) and next prime (111345764590103).

It is a tau number, because it is divible by the number of its divisors (640).

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 = 111345764589999 and 111345764590026.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 421707384 + ... + 421971336.

It is an arithmetic number, because the mean of its divisors is an integer number (656160609060).

Almost surely, 2^{111345764590080} is an apocalyptic number.

111345764590080 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 111345764590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209971394899200).

111345764590080 is an abundant number, since it is smaller than the sum of its proper divisors (308597025208320).

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

111345764590080 is a wasteful number, since it uses less digits than its factorization.

111345764590080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264361 (or 264339 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 111345764590080 in words is "one hundred eleven trillion, three hundred forty-five billion, seven hundred sixty-four million, five hundred ninety thousand, eighty".