10573535750400 has 5184 divisors, whose sum is σ = 52077786808320. Its totient is φ = 2063912140800.

The previous prime is 10573535750359. The next prime is 10573535750411. The reversal of 10573535750400 is 405753537501.

10573535750400 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 3 + 535 + 75 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a super-2 number, since 2×10573535750400² (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 (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 109005523152 + ... + 109005523248.

Almost surely, 2^{10573535750400} is an apocalyptic number.

10573535750400 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 10573535750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26038893404160).

10573535750400 is an abundant number, since it is smaller than the sum of its proper divisors (41504251057920).

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

10573535750400 is a wasteful number, since it uses less digits than its factorization.

10573535750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1102500, while the sum is 45.

The spelling of 10573535750400 in words is "ten trillion, five hundred seventy-three billion, five hundred thirty-five million, seven hundred fifty thousand, four hundred".