10541254464 has 336 divisors, whose sum is σ = 35740531008. Its totient is φ = 3051675648.

The previous prime is 10541254433. The next prime is 10541254489. The reversal of 10541254464 is 46445214501.

10541254464 is a `hidden beast` number, since 1 + 0 + 54 + 1 + 2 + 544 + 64 = 666.

It is a super-2 number, since 2×10541254464² (a number of 21 digits) contains 22 as substring.

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, 3435459 + ... + 3438525.

It is an arithmetic number, because the mean of its divisors is an integer number (106370628).

Almost surely, 2^10541254464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10541254464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17870265504).

10541254464 is an abundant number, since it is smaller than the sum of its proper divisors (25199276544).

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

10541254464 is a wasteful number, since it uses less digits than its factorization.

10541254464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 10541254464 its reverse (46445214501), we get a palindrome (56986468965).

The spelling of 10541254464 in words is "ten billion, five hundred forty-one million, two hundred fifty-four thousand, four hundred sixty-four".