10543166400 has 504 divisors, whose sum is σ = 38490442704. Its totient is φ = 2523955200.

The previous prime is 10543166377. The next prime is 10543166419. The reversal of 10543166400 is 466134501.

It is a super-2 number, since 2×10543166400² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33259042 + ... + 33259358.

It is an arithmetic number, because the mean of its divisors is an integer number (76369926).

Almost surely, 2^10543166400 is an apocalyptic number.

10543166400 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 10543166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19245221352).

10543166400 is an abundant number, since it is smaller than the sum of its proper divisors (27947276304).

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

10543166400 is a wasteful number, since it uses less digits than its factorization.

10543166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 10543166400 in words is "ten billion, five hundred forty-three million, one hundred sixty-six thousand, four hundred".