61890235200 has 504 divisors, whose sum is σ = 239052120320. Its totient is φ = 15128985600.

The previous prime is 61890235153. The next prime is 61890235223. The reversal of 61890235200 is 253209816.

61890235200 is a `hidden beast` number, since 618 + 9 + 0 + 2 + 35 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×61890235200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8477952 + ... + 8485248.

Almost surely, 2^61890235200 is an apocalyptic number.

61890235200 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 61890235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119526060160).

61890235200 is an abundant number, since it is smaller than the sum of its proper divisors (177161885120).

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

61890235200 is a wasteful number, since it uses less digits than its factorization.

61890235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7375 (or 7357 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 61890235200 in words is "sixty-one billion, eight hundred ninety million, two hundred thirty-five thousand, two hundred".