61189539600 has 480 divisors, whose sum is σ = 227968266240. Its totient is φ = 13741701120.

The previous prime is 61189539581. The next prime is 61189539659. The reversal of 61189539600 is 693598116.

61189539600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 61189539600.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170444221 + ... + 170444579.

It is an arithmetic number, because the mean of its divisors is an integer number (474933888).

Almost surely, 2^61189539600 is an apocalyptic number.

61189539600 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 61189539600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113984133120).

61189539600 is an abundant number, since it is smaller than the sum of its proper divisors (166778726640).

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

61189539600 is a wasteful number, since it uses less digits than its factorization.

61189539600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The spelling of 61189539600 in words is "sixty-one billion, one hundred eighty-nine million, five hundred thirty-nine thousand, six hundred".