653130083743200 has 1152 divisors, whose sum is σ = 2735436760842240. Its totient is φ = 149150102353920.

The previous prime is 653130083743177. The next prime is 653130083743213. The reversal of 653130083743200 is 2347380031356.

653130083743200 is a `hidden beast` number, since 6 + 5 + 3 + 130 + 0 + 83 + 7 + 432 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13680098529 + ... + 13680146271.

It is an arithmetic number, because the mean of its divisors is an integer number (2374511077120).

Almost surely, 2^{653130083743200} is an apocalyptic number.

653130083743200 is a gapful number since it is divisible by the number (60) 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 653130083743200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367718380421120).

653130083743200 is an abundant number, since it is smaller than the sum of its proper divisors (2082306677099040).

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

653130083743200 is a wasteful number, since it uses less digits than its factorization.

653130083743200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48908 (or 48877 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 653130083743200 in words is "six hundred fifty-three trillion, one hundred thirty billion, eighty-three million, seven hundred forty-three thousand, two hundred".