10537228800 has 720 divisors, whose sum is σ = 43931384640. Its totient is φ = 2362245120.

The previous prime is 10537228789. The next prime is 10537228837. The reversal of 10537228800 is 882273501.

10537228800 is a `hidden beast` number, since 1 + 0 + 5 + 372 + 288 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×10537228800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58867111 + ... + 58867289.

It is an arithmetic number, because the mean of its divisors is an integer number (61015812).

Almost surely, 2^10537228800 is an apocalyptic number.

10537228800 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 10537228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21965692320).

10537228800 is an abundant number, since it is smaller than the sum of its proper divisors (33394155840).

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

10537228800 is a wasteful number, since it uses less digits than its factorization.

10537228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10537228800 in words is "ten billion, five hundred thirty-seven million, two hundred twenty-eight thousand, eight hundred".