20135447942400 has 1728 divisors, whose sum is σ = 87229781936640. Its totient is φ = 4449160396800.

The previous prime is 20135447942383. The next prime is 20135447942431. The reversal of 20135447942400 is 424974453102.

20135447942400 is a `hidden beast` number, since 2 + 0 + 13 + 544 + 7 + 94 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×20135447942400² (a number of 27 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 5604075004 + ... + 5604078596.

It is an arithmetic number, because the mean of its divisors is an integer number (50480197880).

Almost surely, 2^{20135447942400} is an apocalyptic number.

20135447942400 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 20135447942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43614890968320).

20135447942400 is an abundant number, since it is smaller than the sum of its proper divisors (67094333994240).

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

20135447942400 is a wasteful number, since it uses less digits than its factorization.

20135447942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3789 (or 3764 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 20135447942400 in words is "twenty trillion, one hundred thirty-five billion, four hundred forty-seven million, nine hundred forty-two thousand, four hundred".