15200042142720 has 352 divisors, whose sum is σ = 48914669716992. Its totient is φ = 4028516794368.

The previous prime is 15200042142683. The next prime is 15200042142739. The reversal of 15200042142720 is 2724124000251.

It is a super-2 number, since 2×15200042142720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4574190979 + ... + 4574194301.

Almost surely, 2^{15200042142720} is an apocalyptic number.

15200042142720 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 15200042142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24457334858496).

15200042142720 is an abundant number, since it is smaller than the sum of its proper divisors (33714627574272).

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

15200042142720 is a wasteful number, since it uses less digits than its factorization.

15200042142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5087 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

Adding to 15200042142720 its reverse (2724124000251), we get a palindrome (17924166142971).

The spelling of 15200042142720 in words is "fifteen trillion, two hundred billion, forty-two million, one hundred forty-two thousand, seven hundred twenty".