53785155600 has 480 divisors, whose sum is σ = 210166548480. Its totient is φ = 12955968000.

The previous prime is 53785155587. The next prime is 53785155601. The reversal of 53785155600 is 655158735.

53785155600 is a `hidden beast` number, since 5 + 3 + 7 + 85 + 1 + 5 + 560 + 0 = 666.

It is a super-2 number, since 2×53785155600² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (53785155601) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 19838245 + ... + 19840955.

It is an arithmetic number, because the mean of its divisors is an integer number (437846976).

Almost surely, 2^53785155600 is an apocalyptic number.

53785155600 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 53785155600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105083274240).

53785155600 is an abundant number, since it is smaller than the sum of its proper divisors (156381392880).

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

53785155600 is a wasteful number, since it uses less digits than its factorization.

53785155600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The spelling of 53785155600 in words is "fifty-three billion, seven hundred eighty-five million, one hundred fifty-five thousand, six hundred".