10574881957440 has 560 divisors, whose sum is σ = 37856164389120. Its totient is φ = 2802077245440.

The previous prime is 10574881957439. The next prime is 10574881957441. The reversal of 10574881957440 is 4475918847501.

10574881957440 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 4 + 8 + 8 + 19 + 574 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (10574881957439) and next prime (10574881957441).

It is a super-2 number, since 2×10574881957440² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10574881957441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2943188284 + ... + 2943191876.

It is an arithmetic number, because the mean of its divisors is an integer number (67600293552).

Almost surely, 2^{10574881957440} is an apocalyptic number.

10574881957440 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 10574881957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18928082194560).

10574881957440 is an abundant number, since it is smaller than the sum of its proper divisors (27281282431680).

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

10574881957440 is a wasteful number, since it uses less digits than its factorization.

10574881957440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 10574881957440 in words is "ten trillion, five hundred seventy-four billion, eight hundred eighty-one million, nine hundred fifty-seven thousand, four hundred forty".