531070960896 has 720 divisors, whose sum is σ = 1940072770944. Its totient is φ = 141033996288.

The previous prime is 531070960891. The next prime is 531070960897. The reversal of 531070960896 is 698069070135.

It is a super-2 number, since 2×531070960896² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531070960891) 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, 204808176 + ... + 204810768.

Almost surely, 2^531070960896 is an apocalyptic number.

531070960896 is a gapful number since it is divisible by the number (56) 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 531070960896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970036385472).

531070960896 is an abundant number, since it is smaller than the sum of its proper divisors (1409001810048).

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

531070960896 is a wasteful number, since it uses less digits than its factorization.

531070960896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 531070960896 in words is "five hundred thirty-one billion, seventy million, nine hundred sixty thousand, eight hundred ninety-six".