61144997760 has 1152 divisors, whose sum is σ = 270208673280. Its totient is φ = 12469248000.

The previous prime is 61144997731. The next prime is 61144997791. The reversal of 61144997760 is 6779944116.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 61144997697 and 61144997706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 404933685 + ... + 404933835.

It is an arithmetic number, because the mean of its divisors is an integer number (234556140).

Almost surely, 2^61144997760 is an apocalyptic number.

61144997760 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 61144997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135104336640).

61144997760 is an abundant number, since it is smaller than the sum of its proper divisors (209063675520).

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

61144997760 is a wasteful number, since it uses less digits than its factorization.

61144997760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 61144997760 in words is "sixty-one billion, one hundred forty-four million, nine hundred ninety-seven thousand, seven hundred sixty".