10716632521600 has 192 divisors, whose sum is σ = 27198319910400. Its totient is φ = 4169357107200.

The previous prime is 10716632521577. The next prime is 10716632521603. The reversal of 10716632521600 is 612523661701.

It is a super-2 number, since 2×10716632521600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10716632521603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382299585 + ... + 382327615.

It is an arithmetic number, because the mean of its divisors is an integer number (141657916200).

Almost surely, 2^{10716632521600} is an apocalyptic number.

10716632521600 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 10716632521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13599159955200).

10716632521600 is an abundant number, since it is smaller than the sum of its proper divisors (16481687388800).

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

10716632521600 is a wasteful number, since it uses less digits than its factorization.

10716632521600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31321 (or 31304 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 10716632521600 in words is "ten trillion, seven hundred sixteen billion, six hundred thirty-two million, five hundred twenty-one thousand, six hundred".