20335049750400 has 2304 divisors, whose sum is σ = 87078456622080. Its totient is φ = 4079694643200.

The previous prime is 20335049750399. The next prime is 20335049750401. The reversal of 20335049750400 is 405794053302.

It is an interprime number because it is at equal distance from previous prime (20335049750399) and next prime (20335049750401).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20335049750401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 77319580669 + ... + 77319580931.

It is an arithmetic number, because the mean of its divisors is an integer number (37794469020).

Almost surely, 2^{20335049750400} is an apocalyptic number.

20335049750400 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 20335049750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43539228311040).

20335049750400 is an abundant number, since it is smaller than the sum of its proper divisors (66743406871680).

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

20335049750400 is a wasteful number, since it uses less digits than its factorization.

20335049750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 20335049750400 in words is "twenty trillion, three hundred thirty-five billion, forty-nine million, seven hundred fifty thousand, four hundred".