11451512010640 has 160 divisors (see below), whose sum is σ = 28791822205440. Its totient is φ = 4210739140608.

The previous prime is 11451512010623. The next prime is 11451512010641. The reversal of 11451512010640 is 4601021515411.

It is a super-2 number, since 2×11451512010640² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11451512010641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245070319 + ... + 245117041.

It is an arithmetic number, because the mean of its divisors is an integer number (179948888784).

Almost surely, 2^{11451512010640} is an apocalyptic number.

11451512010640 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 11451512010640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14395911102720).

11451512010640 is an abundant number, since it is smaller than the sum of its proper divisors (17340310194800).

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

11451512010640 is a wasteful number, since it uses less digits than its factorization.

11451512010640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47721 (or 47715 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 31.

The spelling of 11451512010640 in words is "eleven trillion, four hundred fifty-one billion, five hundred twelve million, ten thousand, six hundred forty".