61106099040000 has 1080 divisors, whose sum is σ = 253453115916000. Its totient is φ = 13864845312000.

The previous prime is 61106099039957. The next prime is 61106099040031. The reversal of 61106099040000 is 4099060116.

61106099040000 is a `hidden beast` number, since 6 + 1 + 1 + 0 + 609 + 9 + 0 + 40 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1380937876 + ... + 1380982124.

Almost surely, 2^{61106099040000} is an apocalyptic number.

61106099040000 is a gapful number since it is divisible by the number (60) 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 61106099040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126726557958000).

61106099040000 is an abundant number, since it is smaller than the sum of its proper divisors (192347016876000).

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

61106099040000 is a wasteful number, since it uses less digits than its factorization.

61106099040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44435 (or 44403 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 61106099040000 in words is "sixty-one trillion, one hundred six billion, ninety-nine million, forty thousand".