20278001913120 has 2304 divisors, whose sum is σ = 87551912448000. Its totient is φ = 4175193931776.

The previous prime is 20278001913119. The next prime is 20278001913173. The reversal of 20278001913120 is 2131910087202.

It is a super-2 number, since 2×20278001913120² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27439785711 + ... + 27439786449.

It is an arithmetic number, because the mean of its divisors is an integer number (37999962000).

Almost surely, 2^{20278001913120} is an apocalyptic number.

20278001913120 is a gapful number since it is divisible by the number (20) 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 20278001913120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43775956224000).

20278001913120 is an abundant number, since it is smaller than the sum of its proper divisors (67273910534880).

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

20278001913120 is a wasteful number, since it uses less digits than its factorization.

20278001913120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 20278001913120 in words is "twenty trillion, two hundred seventy-eight billion, one million, nine hundred thirteen thousand, one hundred twenty".