10537478422800 has 960 divisors, whose sum is σ = 41263850373120. Its totient is φ = 2247957504000.

The previous prime is 10537478422799. The next prime is 10537478422841. The reversal of 10537478422800 is 822487473501.

It is a happy number.

It is a super-2 number, since 2×10537478422800² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 814264330 + ... + 814277270.

It is an arithmetic number, because the mean of its divisors is an integer number (42983177472).

Almost surely, 2^{10537478422800} is an apocalyptic number.

10537478422800 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 10537478422800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20631925186560).

10537478422800 is an abundant number, since it is smaller than the sum of its proper divisors (30726371950320).

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

10537478422800 is a wasteful number, since it uses less digits than its factorization.

10537478422800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13112 (or 13101 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 10537478422800 in words is "ten trillion, five hundred thirty-seven billion, four hundred seventy-eight million, four hundred twenty-two thousand, eight hundred".