1053807462400 has 288 divisors, whose sum is σ = 3257534629440. Its totient is φ = 328458240000.

The previous prime is 1053807462377. The next prime is 1053807462443. The reversal of 1053807462400 is 42647083501.

It is a super-3 number, since 3×1053807462400³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3808750 + ... + 4076050.

It is an arithmetic number, because the mean of its divisors is an integer number (11310884130).

Almost surely, 2^{1053807462400} is an apocalyptic number.

1053807462400 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 1053807462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628767314720).

1053807462400 is an abundant number, since it is smaller than the sum of its proper divisors (2203727167040).

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

1053807462400 is a wasteful number, since it uses less digits than its factorization.

1053807462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267351 (or 267326 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 1053807462400 in words is "one trillion, fifty-three billion, eight hundred seven million, four hundred sixty-two thousand, four hundred".