11486128710 has 288 divisors, whose sum is σ = 35882749440. Its totient is φ = 2339269632.

The previous prime is 11486128697. The next prime is 11486128763. The reversal of 11486128710 is 1782168411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8071059 + ... + 8072481.

It is an arithmetic number, because the mean of its divisors is an integer number (124592880).

Almost surely, 2^11486128710 is an apocalyptic number.

11486128710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11486128710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17941374720).

11486128710 is an abundant number, since it is smaller than the sum of its proper divisors (24396620730).

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

11486128710 is a wasteful number, since it uses less digits than its factorization.

11486128710 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 39.

The spelling of 11486128710 in words is "eleven billion, four hundred eighty-six million, one hundred twenty-eight thousand, seven hundred ten".