10288888676352 has 1152 divisors, whose sum is σ = 36401722237440. Its totient is φ = 2866544640000.

The previous prime is 10288888676327. The next prime is 10288888676357. The reversal of 10288888676352 is 25367688888201.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×10288888676352² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10288888676357) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40991588227 + ... + 40991588477.

It is an arithmetic number, because the mean of its divisors is an integer number (31598717220).

Almost surely, 2^{10288888676352} is an apocalyptic number.

10288888676352 is a gapful number since it is divisible by the number (12) 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 10288888676352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18200861118720).

10288888676352 is an abundant number, since it is smaller than the sum of its proper divisors (26112833561088).

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

10288888676352 is an frugal number, since it uses more digits than its factorization.

10288888676352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 72.

The spelling of 10288888676352 in words is "ten trillion, two hundred eighty-eight billion, eight hundred eighty-eight million, six hundred seventy-six thousand, three hundred fifty-two".