1071757564416 has 1280 divisors, whose sum is σ = 4200159744000. Its totient is φ = 261412945920.

The previous prime is 1071757564411. The next prime is 1071757564463. The reversal of 1071757564416 is 6144657571701.

1071757564416 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 7 + 575 + 64 + 4 + 1 + 6 = 666.

It is a super-2 number, since 2×1071757564416² (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 not an unprimeable number, because it can be changed into a prime (1071757564411) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3984228730 + ... + 3984228998.

It is an arithmetic number, because the mean of its divisors is an integer number (3281374800).

Almost surely, 2^{1071757564416} is an apocalyptic number.

1071757564416 is a gapful number since it is divisible by the number (16) 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 1071757564416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100079872000).

1071757564416 is an abundant number, since it is smaller than the sum of its proper divisors (3128402179584).

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

1071757564416 is a wasteful number, since it uses less digits than its factorization.

1071757564416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 1071757564416 in words is "one trillion, seventy-one billion, seven hundred fifty-seven million, five hundred sixty-four thousand, four hundred sixteen".