766525538112 has 224 divisors, whose sum is σ = 2201747184000. Its totient is φ = 234402938880.

The previous prime is 766525538111. The next prime is 766525538113. The reversal of 766525538112 is 211835525667.

It is an interprime number because it is at equal distance from previous prime (766525538111) and next prime (766525538113).

It is a super-2 number, since 2×766525538112² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766525538111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219068139 + ... + 219071637.

It is an arithmetic number, because the mean of its divisors is an integer number (9829228500).

Almost surely, 2^766525538112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766525538112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100873592000).

766525538112 is an abundant number, since it is smaller than the sum of its proper divisors (1435221645888).

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

766525538112 is a wasteful number, since it uses less digits than its factorization.

766525538112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5209 (or 5199 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 51.

The spelling of 766525538112 in words is "seven hundred sixty-six billion, five hundred twenty-five million, five hundred thirty-eight thousand, one hundred twelve".