1081357070976 has 640 divisors, whose sum is σ = 3978547372800. Its totient is φ = 283911340032.

The previous prime is 1081357070909. The next prime is 1081357070993. The reversal of 1081357070976 is 6790707531801.

It is a super-2 number, since 2×1081357070976² (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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 219830245 + ... + 219835163.

It is an arithmetic number, because the mean of its divisors is an integer number (6216480270).

Almost surely, 2^{1081357070976} is an apocalyptic number.

1081357070976 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 1081357070976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989273686400).

1081357070976 is an abundant number, since it is smaller than the sum of its proper divisors (2897190301824).

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

1081357070976 is a wasteful number, since it uses less digits than its factorization.

1081357070976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5198 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 1081357070976 in words is "one trillion, eighty-one billion, three hundred fifty-seven million, seventy thousand, nine hundred seventy-six".