10920475867392 has 1296 divisors, whose sum is σ = 42287452876032. Its totient is φ = 2636902563840.

The previous prime is 10920475867313. The next prime is 10920475867487. The reversal of 10920475867392 is 29376857402901.

10920475867392 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 0 + 47 + 586 + 7 + 3 + 9 + 2 = 666.

10920475867392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2241934717 + ... + 2241939587.

It is a 1-persistent number, because it is pandigital, but 2⋅10920475867392 = 21840951734784 is not.

Almost surely, 2^{10920475867392} is an apocalyptic number.

10920475867392 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 10920475867392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21143726438016).

10920475867392 is an abundant number, since it is smaller than the sum of its proper divisors (31366977008640).

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

10920475867392 is a wasteful number, since it uses less digits than its factorization.

10920475867392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4984 (or 4950 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 10920475867392 in words is "ten trillion, nine hundred twenty billion, four hundred seventy-five million, eight hundred sixty-seven thousand, three hundred ninety-two".