61351129728 has 768 divisors, whose sum is σ = 226299484800. Its totient is φ = 16257024000.

The previous prime is 61351129699. The next prime is 61351129733. The reversal of 61351129728 is 82792115316.

61351129728 is a `hidden beast` number, since 6 + 1 + 351 + 1 + 297 + 2 + 8 = 666.

It is a super-2 number, since 2×61351129728² (a number of 22 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 290763543 + ... + 290763753.

Almost surely, 2^61351129728 is an apocalyptic number.

61351129728 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 61351129728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113149742400).

61351129728 is an abundant number, since it is smaller than the sum of its proper divisors (164948355072).

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

61351129728 is a wasteful number, since it uses less digits than its factorization.

61351129728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 341 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 61351129728 in words is "sixty-one billion, three hundred fifty-one million, one hundred twenty-nine thousand, seven hundred twenty-eight".