61231497600 has 2304 divisors, whose sum is σ = 290681395200. Its totient is φ = 11147673600.

The previous prime is 61231497599. The next prime is 61231497629. The reversal of 61231497600 is 679413216.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 287 ways as a sum of consecutive naturals, for example, 1975209585 + ... + 1975209615.

It is an arithmetic number, because the mean of its divisors is an integer number (126163800).

Almost surely, 2^61231497600 is an apocalyptic number.

61231497600 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 61231497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145340697600).

61231497600 is an abundant number, since it is smaller than the sum of its proper divisors (229449897600).

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

61231497600 is a wasteful number, since it uses less digits than its factorization.

61231497600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 61231497600 in words is "sixty-one billion, two hundred thirty-one million, four hundred ninety-seven thousand, six hundred".