61027092000 has 288 divisors, whose sum is σ = 247526907264. Its totient is φ = 13948992000.

The previous prime is 61027091999. The next prime is 61027092013. The reversal of 61027092000 is 29072016.

61027092000 is a `hidden beast` number, since 610 + 27 + 0 + 9 + 20 + 0 + 0 = 666.

61027092000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130915 + ... + 373085.

It is an arithmetic number, because the mean of its divisors is an integer number (859468428).

Almost surely, 2^61027092000 is an apocalyptic number.

61027092000 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 61027092000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123763453632).

61027092000 is an abundant number, since it is smaller than the sum of its proper divisors (186499815264).

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

61027092000 is a wasteful number, since it uses less digits than its factorization.

61027092000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242209 (or 242188 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 61027092000 in words is "sixty-one billion, twenty-seven million, ninety-two thousand".