61528084992 has 480 divisors, whose sum is σ = 203034237120. Its totient is φ = 17769922560.

The previous prime is 61528084979. The next prime is 61528084999. The reversal of 61528084992 is 29948082516.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (61528084999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99398859 + ... + 99399477.

It is an arithmetic number, because the mean of its divisors is an integer number (422987994).

Almost surely, 2^61528084992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61528084992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101517118560).

61528084992 is an abundant number, since it is smaller than the sum of its proper divisors (141506152128).

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

61528084992 is a wasteful number, since it uses less digits than its factorization.

61528084992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 61528084992 in words is "sixty-one billion, five hundred twenty-eight million, eighty-four thousand, nine hundred ninety-two".