10522031697408 has 960 divisors, whose sum is σ = 37410695562240. Its totient is φ = 2563520593920.

The previous prime is 10522031697407. The next prime is 10522031697413. The reversal of 10522031697408 is 80479613022501.

It is a super-2 number, since 2×10522031697408² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10522031697407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8603459485 + ... + 8603460707.

It is an arithmetic number, because the mean of its divisors is an integer number (38969474544).

It is a 1-persistent number, because it is pandigital, but 2⋅10522031697408 = 21044063394816 is not.

Almost surely, 2^{10522031697408} 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 10522031697408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18705347781120).

10522031697408 is an abundant number, since it is smaller than the sum of its proper divisors (26888663864832).

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

10522031697408 is a wasteful number, since it uses less digits than its factorization.

10522031697408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 10522031697408 in words is "ten trillion, five hundred twenty-two billion, thirty-one million, six hundred ninety-seven thousand, four hundred eight".