109950099840 has 1280 divisors, whose sum is σ = 486255052800. Its totient is φ = 23111516160.

The previous prime is 109950099781. The next prime is 109950099841. The reversal of 109950099840 is 48990059901.

109950099840 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 500 + 9 + 98 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109950099841) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 255104425 + ... + 255104855.

It is an arithmetic number, because the mean of its divisors is an integer number (379886760).

Almost surely, 2^109950099840 is an apocalyptic number.

109950099840 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 109950099840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243127526400).

109950099840 is an abundant number, since it is smaller than the sum of its proper divisors (376304952960).

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

109950099840 is a wasteful number, since it uses less digits than its factorization.

109950099840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 109950099840 in words is "one hundred nine billion, nine hundred fifty million, ninety-nine thousand, eight hundred forty".