61417262249280 has 896 divisors, whose sum is σ = 255061577272320. Its totient is φ = 13620068352000.

The previous prime is 61417262249279. The next prime is 61417262249327. The reversal of 61417262249280 is 8294226271416.

61417262249280 is a `hidden beast` number, since 6 + 1 + 4 + 1 + 7 + 2 + 622 + 4 + 9 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 448753660 + ... + 448890500.

It is an arithmetic number, because the mean of its divisors is an integer number (284666938920).

Almost surely, 2^{61417262249280} is an apocalyptic number.

61417262249280 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 61417262249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127530788636160).

61417262249280 is an abundant number, since it is smaller than the sum of its proper divisors (193644315023040).

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

61417262249280 is a wasteful number, since it uses less digits than its factorization.

61417262249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137096 (or 137080 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 61417262249280 in words is "sixty-one trillion, four hundred seventeen billion, two hundred sixty-two million, two hundred forty-nine thousand, two hundred eighty".