10526804213760 has 1632 divisors, whose sum is σ = 41780737215360. Its totient is φ = 2435246456832.

The previous prime is 10526804213753. The next prime is 10526804213797. The reversal of 10526804213760 is 6731240862501.

10526804213760 is a `hidden beast` number, since 1 + 0 + 526 + 8 + 0 + 42 + 13 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1632).

It is a super-2 number, since 2×10526804213760² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40960327552 + ... + 40960327808.

Almost surely, 2^{10526804213760} is an apocalyptic number.

10526804213760 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 10526804213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20890368607680).

10526804213760 is an abundant number, since it is smaller than the sum of its proper divisors (31253933001600).

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

10526804213760 is a wasteful number, since it uses less digits than its factorization.

10526804213760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 10526804213760 in words is "ten trillion, five hundred twenty-six billion, eight hundred four million, two hundred thirteen thousand, seven hundred sixty".