61104752252640 has 960 divisors, whose sum is σ = 222691445932032. Its totient is φ = 15769429401600.

The previous prime is 61104752252639. The next prime is 61104752252683. The reversal of 61104752252640 is 4625225740116.

61104752252640 is a `hidden beast` number, since 6 + 1 + 10 + 4 + 7 + 522 + 52 + 64 + 0 = 666.

61104752252640 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 (45).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 42940794969 + ... + 42940796391.

Almost surely, 2^{61104752252640} is an apocalyptic number.

61104752252640 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 61104752252640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111345722966016).

61104752252640 is an abundant number, since it is smaller than the sum of its proper divisors (161586693679392).

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

61104752252640 is a wasteful number, since it uses less digits than its factorization.

61104752252640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

Adding to 61104752252640 its reverse (4625225740116), we get a palindrome (65729977992756).

The spelling of 61104752252640 in words is "sixty-one trillion, one hundred four billion, seven hundred fifty-two million, two hundred fifty-two thousand, six hundred forty".