1053299986400 has 144 divisors (see below), whose sum is σ = 2652216591024. Its totient is φ = 408170926080.

The previous prime is 1053299986369. The next prime is 1053299986451. The reversal of 1053299986400 is 46899923501.

It is a super-2 number, since 2×1053299986400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 6820439 + ... + 6973161.

It is an arithmetic number, because the mean of its divisors is an integer number (18418170771).

Almost surely, 2^{1053299986400} is an apocalyptic number.

1053299986400 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 1053299986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326108295512).

1053299986400 is an abundant number, since it is smaller than the sum of its proper divisors (1598916604624).

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

1053299986400 is a wasteful number, since it uses less digits than its factorization.

1053299986400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153013 (or 153000 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 56.

The spelling of 1053299986400 in words is "one trillion, fifty-three billion, two hundred ninety-nine million, nine hundred eighty-six thousand, four hundred".