109959261048 has 256 divisors, whose sum is σ = 383604480000. Its totient is φ = 28999990656.

The previous prime is 109959261007. The next prime is 109959261073. The reversal of 109959261048 is 840162959901.

109959261048 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 592 + 6 + 1 + 0 + 48 = 666.

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 = 109959260985 and 109959261003.

It is a congruent number.

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, 906061 + ... + 1020227.

It is an arithmetic number, because the mean of its divisors is an integer number (1498455000).

Almost surely, 2^109959261048 is an apocalyptic number.

109959261048 is a gapful number since it is divisible by the number (18) 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 109959261048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191802240000).

109959261048 is an abundant number, since it is smaller than the sum of its proper divisors (273645218952).

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

109959261048 is a wasteful number, since it uses less digits than its factorization.

109959261048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114216 (or 114192 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 109959261048 in words is "one hundred nine billion, nine hundred fifty-nine million, two hundred sixty-one thousand, forty-eight".