10872501948 has 432 divisors, whose sum is σ = 37087464960. Its totient is φ = 2621963520.

The previous prime is 10872501943. The next prime is 10872501949. The reversal of 10872501948 is 84910527801.

It is a super-2 number, since 2×10872501948² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10872501943) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25948483 + ... + 25948901.

Almost surely, 2^10872501948 is an apocalyptic number.

10872501948 is a gapful number since it is divisible by the number (18) 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 10872501948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18543732480).

10872501948 is an abundant number, since it is smaller than the sum of its proper divisors (26214963012).

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

10872501948 is a wasteful number, since it uses less digits than its factorization.

10872501948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 10872501948 in words is "ten billion, eight hundred seventy-two million, five hundred one thousand, nine hundred forty-eight".