61405516800 has 396 divisors, whose sum is σ = 228026891456. Its totient is φ = 16373145600.

The previous prime is 61405516769. The next prime is 61405516801. The reversal of 61405516800 is 861550416.

61405516800 is a `hidden beast` number, since 6 + 1 + 40 + 551 + 68 + 0 + 0 = 666.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61405516801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6215865 + ... + 6225735.

Almost surely, 2^61405516800 is an apocalyptic number.

61405516800 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 61405516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114013445728).

61405516800 is an abundant number, since it is smaller than the sum of its proper divisors (166621374656).

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

61405516800 is an equidigital number, since it uses as much as digits as its factorization.

61405516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9916 (or 9881 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 61405516800 in words is "sixty-one billion, four hundred five million, five hundred sixteen thousand, eight hundred".