1052754835680 has 480 divisors, whose sum is σ = 3970751422176. Its totient is φ = 261745606656.

The previous prime is 1052754835619. The next prime is 1052754835729. The reversal of 1052754835680 is 865384572501.

1052754835680 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 7 + 548 + 35 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1052754835680² (a number of 25 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 23551912 + ... + 23596568.

Almost surely, 2^{1052754835680} is an apocalyptic number.

1052754835680 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 1052754835680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985375711088).

1052754835680 is an abundant number, since it is smaller than the sum of its proper divisors (2917996586496).

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

1052754835680 is a wasteful number, since it uses less digits than its factorization.

1052754835680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44808 (or 44791 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 1052754835680 in words is "one trillion, fifty-two billion, seven hundred fifty-four million, eight hundred thirty-five thousand, six hundred eighty".