61044406500 has 384 divisors, whose sum is σ = 233297326080. Its totient is φ = 12016512000.

The previous prime is 61044406477. The next prime is 61044406517. The reversal of 61044406500 is 560444016.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2180592 + ... + 2208408.

It is an arithmetic number, because the mean of its divisors is an integer number (607545120).

Almost surely, 2^61044406500 is an apocalyptic number.

61044406500 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 61044406500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116648663040).

61044406500 is an abundant number, since it is smaller than the sum of its proper divisors (172252919580).

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

61044406500 is a wasteful number, since it uses less digits than its factorization.

61044406500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27876 (or 27864 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 61044406500 in words is "sixty-one billion, forty-four million, four hundred six thousand, five hundred".