109956252550320 has 960 divisors, whose sum is σ = 431611841740800. Its totient is φ = 25683107788800.

The previous prime is 109956252550307. The next prime is 109956252550363. The reversal of 109956252550320 is 23055252659901.

It is a happy number.

109956252550320 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 5 + 6 + 2 + 52 + 550 + 32 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

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, 1855365009 + ... + 1855424271.

It is an arithmetic number, because the mean of its divisors is an integer number (449595668480).

Almost surely, 2^{109956252550320} is an apocalyptic number.

109956252550320 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 109956252550320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215805920870400).

109956252550320 is an abundant number, since it is smaller than the sum of its proper divisors (321655589190480).

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

109956252550320 is a wasteful number, since it uses less digits than its factorization.

109956252550320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59567 (or 59544 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 54.

The spelling of 109956252550320 in words is "one hundred nine trillion, nine hundred fifty-six billion, two hundred fifty-two million, five hundred fifty thousand, three hundred twenty".