10354209516 has 144 divisors (see below), whose sum is σ = 31999496256. Its totient is φ = 2755510272.

The previous prime is 10354209469. The next prime is 10354209517. The reversal of 10354209516 is 61590245301.

10354209516 is a `hidden beast` number, since 10 + 3 + 542 + 0 + 95 + 16 = 666.

It is a super-3 number, since 3×10354209516³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10354209517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403090 + ... + 428006.

It is an arithmetic number, because the mean of its divisors is an integer number (222218724).

Almost surely, 2^10354209516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10354209516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15999748128).

10354209516 is an abundant number, since it is smaller than the sum of its proper divisors (21645286740).

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

10354209516 is a wasteful number, since it uses less digits than its factorization.

10354209516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25048 (or 25043 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 10354209516 in words is "ten billion, three hundred fifty-four million, two hundred nine thousand, five hundred sixteen".