1052993947824 has 480 divisors, whose sum is σ = 3941058867200. Its totient is φ = 254607390720.

The previous prime is 1052993947807. The next prime is 1052993947847. The reversal of 1052993947824 is 4287493992501.

1052993947824 is a `hidden beast` number, since 1 + 0 + 52 + 9 + 93 + 9 + 478 + 24 = 666.

It is a super-2 number, since 2×1052993947824² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7650042 + ... + 7786470.

Almost surely, 2^{1052993947824} is an apocalyptic number.

1052993947824 is a gapful number since it is divisible by the number (14) 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 1052993947824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970529433600).

1052993947824 is an abundant number, since it is smaller than the sum of its proper divisors (2888064919376).

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

1052993947824 is a wasteful number, since it uses less digits than its factorization.

1052993947824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136513 (or 136504 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 1052993947824 in words is "one trillion, fifty-two billion, nine hundred ninety-three million, nine hundred forty-seven thousand, eight hundred twenty-four".