20751394406400 has 3024 divisors, whose sum is σ = 94648630162464. Its totient is φ = 4403012567040.

The previous prime is 20751394406377. The next prime is 20751394406419. The reversal of 20751394406400 is 460449315702.

20751394406400 is a `hidden beast` number, since 2 + 0 + 7 + 513 + 94 + 4 + 0 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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 167 ways as a sum of consecutive naturals, for example, 284265676764 + ... + 284265676836.

It is an arithmetic number, because the mean of its divisors is an integer number (31299150186).

Almost surely, 2^{20751394406400} is an apocalyptic number.

20751394406400 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 20751394406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47324315081232).

20751394406400 is an abundant number, since it is smaller than the sum of its proper divisors (73897235756064).

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

20751394406400 is an frugal number, since it uses more digits than its factorization.

20751394406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 20751394406400 in words is "twenty trillion, seven hundred fifty-one billion, three hundred ninety-four million, four hundred six thousand, four hundred".