1051752860928 has 1152 divisors, whose sum is σ = 4064662425600. Its totient is φ = 260267212800.

The previous prime is 1051752860909. The next prime is 1051752860987. The reversal of 1051752860928 is 8290682571501.

1051752860928 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 7 + 5 + 2 + 8 + 609 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1051752860928² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1281062758 + ... + 1281063578.

It is an arithmetic number, because the mean of its divisors is an integer number (3528352800).

Almost surely, 2^{1051752860928} is an apocalyptic number.

1051752860928 is a gapful number since it is divisible by the number (18) 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 1051752860928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032331212800).

1051752860928 is an abundant number, since it is smaller than the sum of its proper divisors (3012909564672).

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

1051752860928 is a wasteful number, since it uses less digits than its factorization.

1051752860928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 1051752860928 in words is "one trillion, fifty-one billion, seven hundred fifty-two million, eight hundred sixty thousand, nine hundred twenty-eight".