52691785009920 has 2304 divisors, whose sum is σ = 225399023861760. Its totient is φ = 11546620968960.

The previous prime is 52691785009901. The next prime is 52691785009949. The reversal of 52691785009920 is 2990058719625.

52691785009920 is a `hidden beast` number, since 5 + 2 + 6 + 9 + 17 + 8 + 500 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 255 ways as a sum of consecutive naturals, for example, 77147561899 + ... + 77147562581.

It is an arithmetic number, because the mean of its divisors is an integer number (97829437440).

Almost surely, 2^{52691785009920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52691785009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112699511930880).

52691785009920 is an abundant number, since it is smaller than the sum of its proper divisors (172707238851840).

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

52691785009920 is an equidigital number, since it uses as much as digits as its factorization.

52691785009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 52691785009920 in words is "fifty-two trillion, six hundred ninety-one billion, seven hundred eighty-five million, nine thousand, nine hundred twenty".