10537478948000 has 48 divisors (see below), whose sum is σ = 25890585785064. Its totient is φ = 4214991577600.

The previous prime is 10537478947999. The next prime is 10537478948107. The reversal of 10537478948000 is 84987473501.

It can be written as a sum of positive squares in 4 ways, for example, as 4639905553936 + 5897573394064 = 2154044^2 + 2428492^2 .

It is a super-2 number, since 2×10537478948000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1317180869 + ... + 1317188868.

Almost surely, 2^{10537478948000} is an apocalyptic number.

10537478948000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10537478948000 is an abundant number, since it is smaller than the sum of its proper divisors (15353106837064).

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

10537478948000 is an equidigital number, since it uses as much as digits as its factorization.

10537478948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634369762 (or 2634369744 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 56.

The spelling of 10537478948000 in words is "ten trillion, five hundred thirty-seven billion, four hundred seventy-eight million, nine hundred forty-eight thousand".