10733357428416 has 840 divisors, whose sum is σ = 39454194700800. Its totient is φ = 2868392217600.

The previous prime is 10733357428361. The next prime is 10733357428429. The reversal of 10733357428416 is 61482475333701.

10733357428416 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 3 + 3 + 574 + 28 + 41 + 6 = 666.

10733357428416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10733357428416² (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 an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 381263941 + ... + 381292091.

Almost surely, 2^{10733357428416} is an apocalyptic number.

10733357428416 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 10733357428416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19727097350400).

10733357428416 is an abundant number, since it is smaller than the sum of its proper divisors (28720837272384).

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

10733357428416 is a wasteful number, since it uses less digits than its factorization.

10733357428416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28287 (or 28261 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 10733357428416 in words is "ten trillion, seven hundred thirty-three billion, three hundred fifty-seven million, four hundred twenty-eight thousand, four hundred sixteen".