1283883955200 has 3960 divisors, whose sum is σ = 6470408742336. Its totient is φ = 245248819200.

The previous prime is 1283883955199. The next prime is 1283883955223. The reversal of 1283883955200 is 25593883821.

1283883955200 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 8 + 83 + 9 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 29857766379 + ... + 29857766421.

Almost surely, 2^{1283883955200} is an apocalyptic number.

1283883955200 is a gapful number since it is divisible by the number (10) 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 1283883955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235204371168).

1283883955200 is an abundant number, since it is smaller than the sum of its proper divisors (5186524787136).

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

1283883955200 is a wasteful number, since it uses less digits than its factorization.

1283883955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 1283883955200 in words is "one trillion, two hundred eighty-three billion, eight hundred eighty-three million, nine hundred fifty-five thousand, two hundred".