61405995528 has 192 divisors, whose sum is σ = 181703995200. Its totient is φ = 18657423360.

The previous prime is 61405995527. The next prime is 61405995529. The reversal of 61405995528 is 82559950416.

61405995528 is a `hidden beast` number, since 6 + 1 + 40 + 599 + 5 + 5 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (61405995527) and next prime (61405995529).

It is not an unprimeable number, because it can be changed into a prime (61405995527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6971175 + ... + 6979977.

It is an arithmetic number, because the mean of its divisors is an integer number (946374975).

Almost surely, 2^61405995528 is an apocalyptic number.

61405995528 is a gapful number since it is divisible by the number (68) 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 61405995528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90851997600).

61405995528 is an abundant number, since it is smaller than the sum of its proper divisors (120297999672).

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

61405995528 is a wasteful number, since it uses less digits than its factorization.

61405995528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9012 (or 9005 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 61405995528 in words is "sixty-one billion, four hundred five million, nine hundred ninety-five thousand, five hundred twenty-eight".