10207540000 has 120 divisors (see below), whose sum is σ = 28699913088. Its totient is φ = 3499680000.

The previous prime is 10207539997. The next prime is 10207540009. The reversal of 10207540000 is 4570201.

It is a self number, because there is not a number n which added to its sum of digits gives 10207540000.

It is not an unprimeable number, because it can be changed into a prime (10207540009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103545 + ... + 176455.

Almost surely, 2^10207540000 is an apocalyptic number.

10207540000 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 10207540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14349956544).

10207540000 is an abundant number, since it is smaller than the sum of its proper divisors (18492373088).

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

10207540000 is an frugal number, since it uses more digits than its factorization.

10207540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72948 (or 72925 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The spelling of 10207540000 in words is "ten billion, two hundred seven million, five hundred forty thousand".