10753226726400 has 1584 divisors, whose sum is σ = 41909642611200. Its totient is φ = 2626130411520.

The previous prime is 10753226726399. The next prime is 10753226726441. The reversal of 10753226726400 is 462762235701.

10753226726400 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 322 + 67 + 264 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 25664025391 + ... + 25664025809.

Almost surely, 2^{10753226726400} is an apocalyptic number.

10753226726400 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 10753226726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20954821305600).

10753226726400 is an abundant number, since it is smaller than the sum of its proper divisors (31156415884800).

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

10753226726400 is a wasteful number, since it uses less digits than its factorization.

10753226726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 10753226726400 in words is "ten trillion, seven hundred fifty-three billion, two hundred twenty-six million, seven hundred twenty-six thousand, four hundred".