10867972500 has 1200 divisors, whose sum is σ = 48009532032. Its totient is φ = 2073600000.

The previous prime is 10867972477. The next prime is 10867972501. The reversal of 10867972500 is 527976801.

10867972500 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 79 + 72 + 500 = 666.

It is a super-2 number, since 2×10867972500² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 3075 × 2805 × 1260.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10867972501) by changing a digit.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 265072480 + ... + 265072520.

Almost surely, 2^10867972500 is an apocalyptic number.

10867972500 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 10867972500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24004766016).

10867972500 is an abundant number, since it is smaller than the sum of its proper divisors (37141559532).

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

10867972500 is a wasteful number, since it uses less digits than its factorization.

10867972500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 10867972500 in words is "ten billion, eight hundred sixty-seven million, nine hundred seventy-two thousand, five hundred".