1052072865792 has 832 divisors, whose sum is σ = 3478750464000. Its totient is φ = 312198561792.

The previous prime is 1052072865791. The next prime is 1052072865863. The reversal of 1052072865792 is 2975682702501.

1052072865792 is a `hidden beast` number, since 1 + 0 + 520 + 7 + 28 + 6 + 5 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×1052072865792² (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 not an unprimeable number, because it can be changed into a prime (1052072865791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6701100978 + ... + 6701101134.

Almost surely, 2^{1052072865792} is an apocalyptic number.

1052072865792 is a gapful number since it is divisible by the number (12) 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 1052072865792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739375232000).

1052072865792 is an abundant number, since it is smaller than the sum of its proper divisors (2426677598208).

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

1052072865792 is a wasteful number, since it uses less digits than its factorization.

1052072865792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 1052072865792 in words is "one trillion, fifty-two billion, seventy-two million, eight hundred sixty-five thousand, seven hundred ninety-two".