15416201020 has 72 divisors (see below), whose sum is σ = 35655845904. Its totient is φ = 5598524800.

The previous prime is 15416201011. The next prime is 15416201131. The reversal of 15416201020 is 2010261451.

It is a super-3 number, since 3×15416201020³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 15416200982 and 15416201000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20257440 + ... + 20258200.

It is an arithmetic number, because the mean of its divisors is an integer number (495220082).

Almost surely, 2^15416201020 is an apocalyptic number.

15416201020 is a gapful number since it is divisible by the number (10) 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 15416201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17827922952).

15416201020 is an abundant number, since it is smaller than the sum of its proper divisors (20239644884).

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

15416201020 is an frugal number, since it uses more digits than its factorization.

15416201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 15416201020 its reverse (2010261451), we get a palindrome (17426462471).

The spelling of 15416201020 in words is "fifteen billion, four hundred sixteen million, two hundred one thousand, twenty".