61102828410624 has 3888 divisors, whose sum is σ = 258156278924544. Its totient is φ = 14238366105600.

The previous prime is 61102828410599. The next prime is 61102828410629. The reversal of 61102828410624 is 42601482820116.

61102828410624 is a `hidden beast` number, since 6 + 1 + 1 + 0 + 2 + 8 + 2 + 8 + 4 + 10 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a self number, because there is not a number n which added to its sum of digits gives 61102828410624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61102828410629) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 232330145917 + ... + 232330146179.

It is an arithmetic number, because the mean of its divisors is an integer number (66398219888).

Almost surely, 2^{61102828410624} is an apocalyptic number.

61102828410624 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 61102828410624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129078139462272).

61102828410624 is an abundant number, since it is smaller than the sum of its proper divisors (197053450513920).

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

61102828410624 is a wasteful number, since it uses less digits than its factorization.

61102828410624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 61102828410624 in words is "sixty-one trillion, one hundred two billion, eight hundred twenty-eight million, four hundred ten thousand, six hundred twenty-four".