61014211399260 has 1152 divisors, whose sum is σ = 239531839303680. Its totient is φ = 12804844953600.

The previous prime is 61014211399237. The next prime is 61014211399381. The reversal of 61014211399260 is 6299311241016.

61014211399260 is a `hidden beast` number, since 6 + 1 + 0 + 1 + 421 + 139 + 92 + 6 + 0 = 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 (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22843207725 + ... + 22843210395.

It is an arithmetic number, because the mean of its divisors is an integer number (207926943840).

Almost surely, 2^{61014211399260} is an apocalyptic number.

61014211399260 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 61014211399260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119765919651840).

61014211399260 is an abundant number, since it is smaller than the sum of its proper divisors (178517627904420).

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

61014211399260 is a wasteful number, since it uses less digits than its factorization.

61014211399260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 61014211399260 in words is "sixty-one trillion, fourteen billion, two hundred eleven million, three hundred ninety-nine thousand, two hundred sixty".