61026841152000 has 2240 divisors, whose sum is σ = 245903991315840. Its totient is φ = 15049359360000.

The previous prime is 61026841151963. The next prime is 61026841152031. The reversal of 61026841152000 is 25114862016.

It is a happy number.

61026841152000 is a `hidden beast` number, since 6 + 10 + 26 + 8 + 411 + 5 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 223 ways as a sum of consecutive naturals, for example, 38117951200 + ... + 38117952800.

Almost surely, 2^{61026841152000} is an apocalyptic number.

61026841152000 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 61026841152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122951995657920).

61026841152000 is an abundant number, since it is smaller than the sum of its proper divisors (184877150163840).

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

61026841152000 is an equidigital number, since it uses as much as digits as its factorization.

61026841152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 61026841152000 in words is "sixty-one trillion, twenty-six billion, eight hundred forty-one million, one hundred fifty-two thousand".