20134788710400 has 4320 divisors, whose sum is σ = 97553597836800. Its totient is φ = 4024628674560.

The previous prime is 20134788710357. The next prime is 20134788710417. The reversal of 20134788710400 is 401788743102.

20134788710400 is a `hidden beast` number, since 20 + 134 + 7 + 8 + 87 + 10 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1059725721591 + ... + 1059725721609.

Almost surely, 2^{20134788710400} is an apocalyptic number.

20134788710400 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 20134788710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48776798918400).

20134788710400 is an abundant number, since it is smaller than the sum of its proper divisors (77418809126400).

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

20134788710400 is an frugal number, since it uses more digits than its factorization.

20134788710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 20134788710400 in words is "twenty trillion, one hundred thirty-four billion, seven hundred eighty-eight million, seven hundred ten thousand, four hundred".