61421516800 has 432 divisors, whose sum is σ = 185195490480. Its totient is φ = 19786629120.

The previous prime is 61421516797. The next prime is 61421516833. The reversal of 61421516800 is 861512416.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

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, 103577304 + ... + 103577896.

It is an arithmetic number, because the mean of its divisors is an integer number (428693265).

Almost surely, 2^61421516800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61421516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92597745240).

61421516800 is an abundant number, since it is smaller than the sum of its proper divisors (123773973680).

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

61421516800 is a wasteful number, since it uses less digits than its factorization.

61421516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 61421516800 in words is "sixty-one billion, four hundred twenty-one million, five hundred sixteen thousand, eight hundred".