11451651540 has 96 divisors (see below), whose sum is σ = 36798935040. Its totient is φ = 2606545536.

The previous prime is 11451651521. The next prime is 11451651559. The reversal of 11451651540 is 4515615411.

It is an interprime number because it is at equal distance from previous prime (11451651521) and next prime (11451651559).

It is a super-2 number, since 2×11451651540² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 43339 + ... + 157421.

It is an arithmetic number, because the mean of its divisors is an integer number (383322240).

Almost surely, 2^11451651540 is an apocalyptic number.

11451651540 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 11451651540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18399467520).

11451651540 is an abundant number, since it is smaller than the sum of its proper divisors (25347283500).

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

11451651540 is a wasteful number, since it uses less digits than its factorization.

11451651540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114341 (or 114339 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

The spelling of 11451651540 in words is "eleven billion, four hundred fifty-one million, six hundred fifty-one thousand, five hundred forty".