20351894400 has 576 divisors, whose sum is σ = 75914560800. Its totient is φ = 5186764800.

The previous prime is 20351894359. The next prime is 20351894461. The reversal of 20351894400 is 449815302.

20351894400 is a `hidden beast` number, since 2 + 0 + 35 + 189 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75657466 + ... + 75657734.

Almost surely, 2^20351894400 is an apocalyptic number.

20351894400 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 20351894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37957280400).

20351894400 is an abundant number, since it is smaller than the sum of its proper divisors (55562666400).

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

20351894400 is a wasteful number, since it uses less digits than its factorization.

20351894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 20351894400 in words is "twenty billion, three hundred fifty-one million, eight hundred ninety-four thousand, four hundred".