2253763900800 has 288 divisors, whose sum is σ = 8045922371760. Its totient is φ = 600706560000.

The previous prime is 2253763900781. The next prime is 2253763900873. The reversal of 2253763900800 is 80093673522.

2253763900800 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 7 + 639 + 0 + 0 + 8 + 0 + 0 = 666.

2253763900800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61642525 + ... + 61679075.

Almost surely, 2^{2253763900800} is an apocalyptic number.

2253763900800 is a gapful number since it is divisible by the number (20) 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 2253763900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022961185880).

2253763900800 is an abundant number, since it is smaller than the sum of its proper divisors (5792158470960).

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

2253763900800 is a wasteful number, since it uses less digits than its factorization.

2253763900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38722 (or 38702 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 2253763900800 in words is "two trillion, two hundred fifty-three billion, seven hundred sixty-three million, nine hundred thousand, eight hundred".