10537653546400 has 144 divisors (see below), whose sum is σ = 26423384107680. Its totient is φ = 4100664960000.

The previous prime is 10537653546377. The next prime is 10537653546439. The reversal of 10537653546400 is 464535673501.

It is a super-2 number, since 2×10537653546400² (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 23 ways as a sum of consecutive naturals, for example, 362615071 + ... + 362644129.

It is an arithmetic number, because the mean of its divisors is an integer number (183495722970).

Almost surely, 2^{10537653546400} is an apocalyptic number.

10537653546400 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 10537653546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13211692053840).

10537653546400 is an abundant number, since it is smaller than the sum of its proper divisors (15885730561280).

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

10537653546400 is a wasteful number, since it uses less digits than its factorization.

10537653546400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41367 (or 41354 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 49.

The spelling of 10537653546400 in words is "ten trillion, five hundred thirty-seven billion, six hundred fifty-three million, five hundred forty-six thousand, four hundred".