20406536400 has 120 divisors (see below), whose sum is σ = 66963464064. Its totient is φ = 5309004800.

The previous prime is 20406536393. The next prime is 20406536413. The reversal of 20406536400 is 463560402.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158184 + ... + 256583.

Almost surely, 2^20406536400 is an apocalyptic number.

20406536400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20406536400 is an abundant number, since it is smaller than the sum of its proper divisors (46556927664).

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

20406536400 is a wasteful number, since it uses less digits than its factorization.

20406536400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414829 (or 414818 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 20406536400 in words is "twenty billion, four hundred six million, five hundred thirty-six thousand, four hundred".