1052681748480 has 360 divisors, whose sum is σ = 3682945266000. Its totient is φ = 278118531072.

The previous prime is 1052681748463. The next prime is 1052681748523. The reversal of 1052681748480 is 848471862501.

1052681748480 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 6 + 81 + 7 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1052681748480² (a number of 25 digits) contains 22 as substring.

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, 80356971 + ... + 80370069.

Almost surely, 2^{1052681748480} is an apocalyptic number.

1052681748480 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 1052681748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841472633000).

1052681748480 is an abundant number, since it is smaller than the sum of its proper divisors (2630263517520).

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

1052681748480 is a wasteful number, since it uses less digits than its factorization.

1052681748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13247 (or 13218 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 1052681748480 in words is "one trillion, fifty-two billion, six hundred eighty-one million, seven hundred forty-eight thousand, four hundred eighty".