10111500672 has 384 divisors, whose sum is σ = 34619746560. Its totient is φ = 2546159616.

The previous prime is 10111500629. The next prime is 10111500677. The reversal of 10111500672 is 27600511101.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111500677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18485103 + ... + 18485649.

It is an arithmetic number, because the mean of its divisors is an integer number (90155590).

Almost surely, 2^10111500672 is an apocalyptic number.

10111500672 is a gapful number since it is divisible by the number (12) 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 10111500672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17309873280).

10111500672 is an abundant number, since it is smaller than the sum of its proper divisors (24508245888).

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

10111500672 is a wasteful number, since it uses less digits than its factorization.

10111500672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 24.

The spelling of 10111500672 in words is "ten billion, one hundred eleven million, five hundred thousand, six hundred seventy-two".