20142655360 has 128 divisors (see below), whose sum is σ = 51068413440. Its totient is φ = 7570882560.

The previous prime is 20142655339. The next prime is 20142655363. The reversal of 20142655360 is 6355624102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×20142655360³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20142655363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9540705 + ... + 9542815.

It is an arithmetic number, because the mean of its divisors is an integer number (398971980).

Almost surely, 2^20142655360 is an apocalyptic number.

20142655360 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 20142655360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25534206720).

20142655360 is an abundant number, since it is smaller than the sum of its proper divisors (30925758080).

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

20142655360 is a wasteful number, since it uses less digits than its factorization.

20142655360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 20142655360 in words is "twenty billion, one hundred forty-two million, six hundred fifty-five thousand, three hundred sixty".