53723765700 has 1152 divisors, whose sum is σ = 211186483200. Its totient is φ = 11575872000.

The previous prime is 53723765681. The next prime is 53723765737. The reversal of 53723765700 is 756732735.

53723765700 is a `hidden beast` number, since 5 + 3 + 7 + 2 + 3 + 76 + 570 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 910572271 + ... + 910572329.

It is an arithmetic number, because the mean of its divisors is an integer number (183321600).

Almost surely, 2^53723765700 is an apocalyptic number.

53723765700 is a gapful number since it is divisible by the number (50) 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 53723765700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105593241600).

53723765700 is an abundant number, since it is smaller than the sum of its proper divisors (157462717500).

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

53723765700 is a wasteful number, since it uses less digits than its factorization.

53723765700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 45.

The spelling of 53723765700 in words is "fifty-three billion, seven hundred twenty-three million, seven hundred sixty-five thousand, seven hundred".