1051385739264 has 288 divisors, whose sum is σ = 3475441438560. Its totient is φ = 299959123968.

The previous prime is 1051385739259. The next prime is 1051385739277. The reversal of 1051385739264 is 4629375831501.

It is a happy number.

1051385739264 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 3 + 8 + 573 + 9 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1051385739264² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1051385739264.

It is a congruent number.

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, 94569034 + ... + 94580150.

It is an arithmetic number, because the mean of its divisors is an integer number (12067504995).

It is a 1-persistent number, because it is pandigital, but 2⋅1051385739264 = 2102771478528 is not.

Almost surely, 2^{1051385739264} is an apocalyptic number.

1051385739264 is a gapful number since it is divisible by the number (14) 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 1051385739264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737720719280).

1051385739264 is an abundant number, since it is smaller than the sum of its proper divisors (2424055699296).

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

1051385739264 is a wasteful number, since it uses less digits than its factorization.

1051385739264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11885 (or 11862 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1051385739264 in words is "one trillion, fifty-one billion, three hundred eighty-five million, seven hundred thirty-nine thousand, two hundred sixty-four".