53222702400 has 1890 divisors, whose sum is σ = 250083633690. Its totient is φ = 11054776320.

The previous prime is 53222702399. The next prime is 53222702411. The reversal of 53222702400 is 420722235.

53222702400 is a `hidden beast` number, since 5 + 32 + 227 + 0 + 2 + 400 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 2694855744 + 50527846656 = 51912^2 + 224784^2 .

It is a tau number, because it is divible by the number of its divisors (1890).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 1835265586 + ... + 1835265614.

Almost surely, 2^53222702400 is an apocalyptic number.

53222702400 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 53222702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125041816845).

53222702400 is an abundant number, since it is smaller than the sum of its proper divisors (196860931290).

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

53222702400 is a wasteful number, since it uses less digits than its factorization.

53222702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The spelling of 53222702400 in words is "fifty-three billion, two hundred twenty-two million, seven hundred two thousand, four hundred".