10540514988 has 96 divisors (see below), whose sum is σ = 27577536000. Its totient is φ = 3481486272.

The previous prime is 10540514969. The next prime is 10540515043. The reversal of 10540514988 is 88941504501.

It is a happy number.

10540514988 is a `hidden beast` number, since 1 + 0 + 5 + 40 + 514 + 98 + 8 = 666.

It is a super-2 number, since 2×10540514988² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6081370 + ... + 6083102.

It is an arithmetic number, because the mean of its divisors is an integer number (287266000).

Almost surely, 2^10540514988 is an apocalyptic number.

10540514988 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 10540514988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13788768000).

10540514988 is an abundant number, since it is smaller than the sum of its proper divisors (17037021012).

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

10540514988 is a wasteful number, since it uses less digits than its factorization.

10540514988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 10540514988 in words is "ten billion, five hundred forty million, five hundred fourteen thousand, nine hundred eighty-eight".