826013952000 has 576 divisors, whose sum is σ = 3152615029200. Its totient is φ = 207303475200.

The previous prime is 826013951969. The next prime is 826013952011. The reversal of 826013952000 is 259310628.

826013952000 is a `hidden beast` number, since 8 + 2 + 60 + 1 + 395 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 314640221184 + 511373730816 = 560928^2 + 715104^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39157456 + ... + 39178544.

Almost surely, 2^826013952000 is an apocalyptic number.

826013952000 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 826013952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576307514600).

826013952000 is an abundant number, since it is smaller than the sum of its proper divisors (2326601077200).

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

826013952000 is a wasteful number, since it uses less digits than its factorization.

826013952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21149 (or 21116 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 826013952000 in words is "eight hundred twenty-six billion, thirteen million, nine hundred fifty-two thousand".