61275005535744 has 2240 divisors, whose sum is σ = 251565173798400. Its totient is φ = 14686920622080.

The previous prime is 61275005535703. The next prime is 61275005535829. The reversal of 61275005535744 is 44753550057216.

It is a happy number.

61275005535744 is a `hidden beast` number, since 6 + 12 + 7 + 5 + 0 + 0 + 5 + 53 + 574 + 4 = 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 223 ways as a sum of consecutive naturals, for example, 18307439479 + ... + 18307442825.

It is an arithmetic number, because the mean of its divisors is an integer number (112305881160).

Almost surely, 2^{61275005535744} is an apocalyptic number.

61275005535744 is a gapful number since it is divisible by the number (64) 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 61275005535744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125782586899200).

61275005535744 is an abundant number, since it is smaller than the sum of its proper divisors (190290168262656).

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

61275005535744 is an equidigital number, since it uses as much as digits as its factorization.

61275005535744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 17640000, while the sum is 54.

The spelling of 61275005535744 in words is "sixty-one trillion, two hundred seventy-five billion, five million, five hundred thirty-five thousand, seven hundred forty-four".