10620931216896 has 3360 divisors, whose sum is σ = 45227631246336. Its totient is φ = 2445520896000.

The previous prime is 10620931216837. The next prime is 10620931216897. The reversal of 10620931216896 is 69861213902601.

10620931216896 is a `hidden beast` number, since 1 + 0 + 620 + 9 + 3 + 1 + 2 + 1 + 6 + 8 + 9 + 6 = 666.

It is a super-2 number, since 2×10620931216896² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10620931216897) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 81075810751 + ... + 81075810881.

Almost surely, 2^{10620931216896} is an apocalyptic number.

10620931216896 is a gapful number since it is divisible by the number (16) 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 10620931216896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22613815623168).

10620931216896 is an abundant number, since it is smaller than the sum of its proper divisors (34606700029440).

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

10620931216896 is a wasteful number, since it uses less digits than its factorization.

10620931216896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 10620931216896 in words is "ten trillion, six hundred twenty billion, nine hundred thirty-one million, two hundred sixteen thousand, eight hundred ninety-six".