109142052497280 has 3072 divisors, whose sum is σ = 451666575360000. Its totient is φ = 24944313139200.

The previous prime is 109142052497279. The next prime is 109142052497293. The reversal of 109142052497280 is 82794250241901.

109142052497280 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 4 + 2 + 0 + 524 + 97 + 28 + 0 = 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 383 ways as a sum of consecutive naturals, for example, 456661307401 + ... + 456661307639.

It is an arithmetic number, because the mean of its divisors is an integer number (147026880000).

Almost surely, 2^{109142052497280} is an apocalyptic number.

109142052497280 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 109142052497280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225833287680000).

109142052497280 is an abundant number, since it is smaller than the sum of its proper divisors (342524522862720).

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

109142052497280 is a wasteful number, since it uses less digits than its factorization.

109142052497280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 109142052497280 in words is "one hundred nine trillion, one hundred forty-two billion, fifty-two million, four hundred ninety-seven thousand, two hundred eighty".