61021560600 has 1920 divisors, whose sum is σ = 294011182080. Its totient is φ = 11321856000.

The previous prime is 61021560581. The next prime is 61021560637. The reversal of 61021560600 is 606512016.

It is a happy number.

61021560600 is a `hidden beast` number, since 6 + 1 + 0 + 2 + 1 + 56 + 0 + 600 = 666.

61021560600 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 859458565 + ... + 859458635.

It is an arithmetic number, because the mean of its divisors is an integer number (153130824).

Almost surely, 2^61021560600 is an apocalyptic number.

61021560600 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 61021560600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147005591040).

61021560600 is an abundant number, since it is smaller than the sum of its proper divisors (232989621480).

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

61021560600 is a wasteful number, since it uses less digits than its factorization.

61021560600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 61021560600 in words is "sixty-one billion, twenty-one million, five hundred sixty thousand, six hundred".