10540215648 has 288 divisors, whose sum is σ = 32959180800. Its totient is φ = 3182312448.

The previous prime is 10540215593. The next prime is 10540215661. The reversal of 10540215648 is 84651204501.

It is a happy number.

10540215648 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 0 + 2 + 1 + 5 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×10540215648³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20153115 + ... + 20153637.

It is an arithmetic number, because the mean of its divisors is an integer number (114441600).

Almost surely, 2^10540215648 is an apocalyptic number.

10540215648 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 10540215648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16479590400).

10540215648 is an abundant number, since it is smaller than the sum of its proper divisors (22418965152).

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

10540215648 is a wasteful number, since it uses less digits than its factorization.

10540215648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 10540215648 in words is "ten billion, five hundred forty million, two hundred fifteen thousand, six hundred forty-eight".