61099976672280 has 1536 divisors, whose sum is σ = 268348649587200. Its totient is φ = 11686329188352.

The previous prime is 61099976672239. The next prime is 61099976672281. The reversal of 61099976672280 is 8227667999016.

61099976672280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 61099976672199 and 61099976672208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61099976672281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6993240072 + ... + 6993248808.

It is an arithmetic number, because the mean of its divisors is an integer number (174706152075).

Almost surely, 2^{61099976672280} is an apocalyptic number.

61099976672280 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 61099976672280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134174324793600).

61099976672280 is an abundant number, since it is smaller than the sum of its proper divisors (207248672914920).

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

61099976672280 is a wasteful number, since it uses less digits than its factorization.

61099976672280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9253 (or 9246 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 61099976672280 in words is "sixty-one trillion, ninety-nine billion, nine hundred seventy-six million, six hundred seventy-two thousand, two hundred eighty".