10552451035440 has 320 divisors, whose sum is σ = 34672799370240. Its totient is φ = 2647438110720.

The previous prime is 10552451035417. The next prime is 10552451035457. The reversal of 10552451035440 is 4453015425501.

It is a super-2 number, since 2×10552451035440² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1940856402 + ... + 1940861838.

It is an arithmetic number, because the mean of its divisors is an integer number (108352498032).

Almost surely, 2^{10552451035440} is an apocalyptic number.

10552451035440 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 10552451035440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17336399685120).

10552451035440 is an abundant number, since it is smaller than the sum of its proper divisors (24120348334800).

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

10552451035440 is a wasteful number, since it uses less digits than its factorization.

10552451035440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8340 (or 8334 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 39.

The spelling of 10552451035440 in words is "ten trillion, five hundred fifty-two billion, four hundred fifty-one million, thirty-five thousand, four hundred forty".