10648822290400 has 288 divisors, whose sum is σ = 31551315711552. Its totient is φ = 3426051686400.

The previous prime is 10648822290391. The next prime is 10648822290401. The reversal of 10648822290400 is 409222884601.

It is a super-2 number, since 2×10648822290400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10648822290401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31916440 + ... + 32248360.

It is an arithmetic number, because the mean of its divisors is an integer number (109553179554).

Almost surely, 2^{10648822290400} is an apocalyptic number.

10648822290400 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 10648822290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15775657855776).

10648822290400 is an abundant number, since it is smaller than the sum of its proper divisors (20902493421152).

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

10648822290400 is a wasteful number, since it uses less digits than its factorization.

10648822290400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332302 (or 332289 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 10648822290400 in words is "ten trillion, six hundred forty-eight billion, eight hundred twenty-two million, two hundred ninety thousand, four hundred".