61533810000 has 800 divisors, whose sum is σ = 243396088320. Its totient is φ = 14784768000.

The previous prime is 61533809971. The next prime is 61533810007. The reversal of 61533810000 is 1833516.

61533810000 is a `hidden beast` number, since 615 + 3 + 38 + 10 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×61533810000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61533810007) 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 159 ways as a sum of consecutive naturals, for example, 164969814 + ... + 164970186.

Almost surely, 2^61533810000 is an apocalyptic number.

61533810000 is a gapful number since it is divisible by the number (60) 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 61533810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121698044160).

61533810000 is an abundant number, since it is smaller than the sum of its proper divisors (181862278320).

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

61533810000 is a wasteful number, since it uses less digits than its factorization.

61533810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 61533810000 in words is "sixty-one billion, five hundred thirty-three million, eight hundred ten thousand".