61083211138560 has 3200 divisors, whose sum is σ = 252980288225280. Its totient is φ = 13979182694400.

The previous prime is 61083211138511. The next prime is 61083211138613. The reversal of 61083211138560 is 6583111238016.

61083211138560 is a `hidden beast` number, since 6 + 1 + 0 + 83 + 2 + 1 + 1 + 1 + 3 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 319 ways as a sum of consecutive naturals, for example, 319807388065 + ... + 319807388255.

Almost surely, 2^{61083211138560} is an apocalyptic number.

61083211138560 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 61083211138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126490144112640).

61083211138560 is an abundant number, since it is smaller than the sum of its proper divisors (191897077086720).

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

61083211138560 is a wasteful number, since it uses less digits than its factorization.

61083211138560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 61083211138560 in words is "sixty-one trillion, eighty-three billion, two hundred eleven million, one hundred thirty-eight thousand, five hundred sixty".