1051512399360 has 640 divisors, whose sum is σ = 3799995534720. Its totient is φ = 279010344960.

The previous prime is 1051512399341. The next prime is 1051512399391. The reversal of 1051512399360 is 639932151501.

1051512399360 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 51 + 239 + 9 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1051512399360² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 1640424640 + ... + 1640425280.

It is an arithmetic number, because the mean of its divisors is an integer number (5937493023).

Almost surely, 2^{1051512399360} is an apocalyptic number.

1051512399360 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 1051512399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899997767360).

1051512399360 is an abundant number, since it is smaller than the sum of its proper divisors (2748483135360).

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

1051512399360 is an frugal number, since it uses more digits than its factorization.

1051512399360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The spelling of 1051512399360 in words is "one trillion, fifty-one billion, five hundred twelve million, three hundred ninety-nine thousand, three hundred sixty".