61993228500 has 960 divisors, whose sum is σ = 258006228480. Its totient is φ = 12615782400.

The previous prime is 61993228487. The next prime is 61993228511. The reversal of 61993228500 is 582239916.

61993228500 is a `hidden beast` number, since 6 + 1 + 99 + 32 + 28 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 91570162 + ... + 91570838.

It is an arithmetic number, because the mean of its divisors is an integer number (268756488).

Almost surely, 2^61993228500 is an apocalyptic number.

61993228500 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 61993228500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129003114240).

61993228500 is an abundant number, since it is smaller than the sum of its proper divisors (196012999980).

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

61993228500 is a wasteful number, since it uses less digits than its factorization.

61993228500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 61993228500 in words is "sixty-one billion, nine hundred ninety-three million, two hundred twenty-eight thousand, five hundred".