10032416016 has 120 divisors (see below), whose sum is σ = 30221128224. Its totient is φ = 2859494400.

The previous prime is 10032416011. The next prime is 10032416021. The reversal of 10032416016 is 61061423001.

It is an interprime number because it is at equal distance from previous prime (10032416011) and next prime (10032416021).

It is a super-2 number, since 2×10032416016² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10032416011) 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, 1013491 + ... + 1023341.

Almost surely, 2^10032416016 is an apocalyptic number.

10032416016 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 10032416016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15110564112).

10032416016 is an abundant number, since it is smaller than the sum of its proper divisors (20188712208).

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

10032416016 is a wasteful number, since it uses less digits than its factorization.

10032416016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10309 (or 10296 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10032416016 its reverse (61061423001), we get a palindrome (71093839017).

The spelling of 10032416016 in words is "ten billion, thirty-two million, four hundred sixteen thousand, sixteen".