61355579328 has 392 divisors, whose sum is σ = 190792943280. Its totient is φ = 19543265280.

The previous prime is 61355579269. The next prime is 61355579333. The reversal of 61355579328 is 82397555316.

61355579328 is a `hidden beast` number, since 6 + 1 + 35 + 5 + 579 + 32 + 8 = 666.

It is a super-2 number, since 2×61355579328² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 185364123 + ... + 185364453.

Almost surely, 2^61355579328 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 61355579328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95396471640).

61355579328 is an abundant number, since it is smaller than the sum of its proper divisors (129437363952).

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

61355579328 is a wasteful number, since it uses less digits than its factorization.

61355579328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 502 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 54.

The spelling of 61355579328 in words is "sixty-one billion, three hundred fifty-five million, five hundred seventy-nine thousand, three hundred twenty-eight".