10072677500 has 120 divisors (see below), whose sum is σ = 23103104640. Its totient is φ = 3834072000.

The previous prime is 10072677491. The next prime is 10072677529. The reversal of 10072677500 is 577627001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16272191 + ... + 16272809.

It is an arithmetic number, because the mean of its divisors is an integer number (192525872).

Almost surely, 2^10072677500 is an apocalyptic number.

10072677500 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 10072677500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11551552320).

10072677500 is an abundant number, since it is smaller than the sum of its proper divisors (13030427140).

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

10072677500 is a wasteful number, since it uses less digits than its factorization.

10072677500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 35.

The spelling of 10072677500 in words is "ten billion, seventy-two million, six hundred seventy-seven thousand, five hundred".