1071823745520 has 400 divisors, whose sum is σ = 4274764433280. Its totient is φ = 246160166400.

The previous prime is 1071823745479. The next prime is 1071823745527. The reversal of 1071823745520 is 255473281701.

1071823745520 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 8 + 23 + 74 + 552 + 0 = 666.

It is a super-2 number, since 2×1071823745520² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071823745527) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 958615 + ... + 1750025.

Almost surely, 2^{1071823745520} is an apocalyptic number.

1071823745520 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 1071823745520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137382216640).

1071823745520 is an abundant number, since it is smaller than the sum of its proper divisors (3202940687760).

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

1071823745520 is a wasteful number, since it uses less digits than its factorization.

1071823745520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791466 (or 791451 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 1071823745520 in words is "one trillion, seventy-one billion, eight hundred twenty-three million, seven hundred forty-five thousand, five hundred twenty".