61092568992 has 576 divisors, whose sum is σ = 215242997760. Its totient is φ = 14733342720.

The previous prime is 61092568963. The next prime is 61092568997. The reversal of 61092568992 is 29986529016.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (61092568997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159510433 + ... + 159510815.

It is an arithmetic number, because the mean of its divisors is an integer number (373685760).

Almost surely, 2^61092568992 is an apocalyptic number.

61092568992 is a gapful number since it is divisible by the number (62) 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 61092568992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107621498880).

61092568992 is an abundant number, since it is smaller than the sum of its proper divisors (154150428768).

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

61092568992 is a wasteful number, since it uses less digits than its factorization.

61092568992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 57.

The spelling of 61092568992 in words is "sixty-one billion, ninety-two million, five hundred sixty-eight thousand, nine hundred ninety-two".