15829122420 has 36 divisors (see below), whose sum is σ = 48015005220. Its totient is φ = 4221099264.

The previous prime is 15829122371. The next prime is 15829122431. The reversal of 15829122420 is 2422192851.

It can be written as a sum of positive squares in 2 ways, for example, as 2211632784 + 13617489636 = 47028^2 + 116694^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×15829122420² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43969605 + ... + 43969964.

It is an arithmetic number, because the mean of its divisors is an integer number (1333750145).

Almost surely, 2^15829122420 is an apocalyptic number.

15829122420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15829122420 is an abundant number, since it is smaller than the sum of its proper divisors (32185882800).

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

15829122420 is a wasteful number, since it uses less digits than its factorization.

15829122420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87939584 (or 87939579 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 15829122420 in words is "fifteen billion, eight hundred twenty-nine million, one hundred twenty-two thousand, four hundred twenty".