10535682074400 has 576 divisors, whose sum is σ = 43564411699200. Its totient is φ = 2407219983360.

The previous prime is 10535682074369. The next prime is 10535682074413. The reversal of 10535682074400 is 447028653501.

10535682074400 is a `hidden beast` number, since 1 + 0 + 5 + 35 + 6 + 8 + 207 + 4 + 400 = 666.

It is a super-2 number, since 2×10535682074400² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 435292699 + ... + 435316901.

It is an arithmetic number, because the mean of its divisors is an integer number (75632659200).

Almost surely, 2^{10535682074400} is an apocalyptic number.

10535682074400 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 10535682074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21782205849600).

10535682074400 is an abundant number, since it is smaller than the sum of its proper divisors (33028729624800).

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

10535682074400 is a wasteful number, since it uses less digits than its factorization.

10535682074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27118 (or 27099 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 10535682074400 in words is "ten trillion, five hundred thirty-five billion, six hundred eighty-two million, seventy-four thousand, four hundred".