825749766696960 has 3120 divisors, whose sum is σ = 3550065977690496. Its totient is φ = 182935999217664.

The previous prime is 825749766696931. The next prime is 825749766697067. The reversal of 825749766696960 is 69696667947528.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1392495390424 + ... + 1392495391016.

Almost surely, 2^{825749766696960} is an apocalyptic number.

825749766696960 is a gapful number since it is divisible by the number (80) 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 825749766696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775032988845248).

825749766696960 is an abundant number, since it is smaller than the sum of its proper divisors (2724316210993536).

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

825749766696960 is a wasteful number, since it uses less digits than its factorization.

825749766696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 88885278720, while the sum is 90.

The spelling of 825749766696960 in words is "eight hundred twenty-five trillion, seven hundred forty-nine billion, seven hundred sixty-six million, six hundred ninety-six thousand, nine hundred sixty".