61875235200 has 384 divisors, whose sum is σ = 214459488000. Its totient is φ = 15656919040.

The previous prime is 61875235183. The next prime is 61875235241. The reversal of 61875235200 is 253257816.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16423717 + ... + 16427483.

It is an arithmetic number, because the mean of its divisors is an integer number (558488250).

Almost surely, 2^61875235200 is an apocalyptic number.

61875235200 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 61875235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107229744000).

61875235200 is an abundant number, since it is smaller than the sum of its proper divisors (152584252800).

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

61875235200 is a wasteful number, since it uses less digits than its factorization.

61875235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3882 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 61875235200 in words is "sixty-one billion, eight hundred seventy-five million, two hundred thirty-five thousand, two hundred".