20094147360 has 768 divisors, whose sum is σ = 83607552000. Its totient is φ = 4504550400.

The previous prime is 20094147347. The next prime is 20094147361. The reversal of 20094147360 is 6374149002.

20094147360 is a `hidden beast` number, since 200 + 9 + 414 + 7 + 36 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (20094147361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 105204865 + ... + 105205055.

It is an arithmetic number, because the mean of its divisors is an integer number (108864000).

Almost surely, 2^20094147360 is an apocalyptic number.

20094147360 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 20094147360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41803776000).

20094147360 is an abundant number, since it is smaller than the sum of its proper divisors (63513404640).

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

20094147360 is a wasteful number, since it uses less digits than its factorization.

20094147360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

It can be divided in two parts, 2009 and 4147360, that added together give a square (4149369 = 2037²).

The spelling of 20094147360 in words is "twenty billion, ninety-four million, one hundred forty-seven thousand, three hundred sixty".