10710225216000 has 2560 divisors, whose sum is σ = 45593653248000. Its totient is φ = 2460450816000.

The previous prime is 10710225215939. The next prime is 10710225216037. The reversal of 10710225216000 is 61252201701.

10710225216000 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 0 + 2 + 2 + 52 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×10710225216000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17302463691 + ... + 17302464309.

It is an arithmetic number, because the mean of its divisors is an integer number (17810020800).

Almost surely, 2^{10710225216000} is an apocalyptic number.

10710225216000 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 10710225216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22796826624000).

10710225216000 is an abundant number, since it is smaller than the sum of its proper divisors (34883428032000).

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

10710225216000 is a wasteful number, since it uses less digits than its factorization.

10710225216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 10710225216000 its reverse (61252201701), we get a palindrome (10771477417701).

The spelling of 10710225216000 in words is "ten trillion, seven hundred ten billion, two hundred twenty-five million, two hundred sixteen thousand".