20088545040 has 240 divisors, whose sum is σ = 72000534528. Its totient is φ = 5001744384.

The previous prime is 20088545027. The next prime is 20088545089. The reversal of 20088545040 is 4054588002.

20088545040 is a `hidden beast` number, since 20 + 0 + 88 + 54 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 20088544986 and 20088545004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1548019 + ... + 1560941.

Almost surely, 2^20088545040 is an apocalyptic number.

20088545040 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 20088545040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36000267264).

20088545040 is an abundant number, since it is smaller than the sum of its proper divisors (51911989488).

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

20088545040 is a wasteful number, since it uses less digits than its factorization.

20088545040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13086 (or 13077 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 20088545040 in words is "twenty billion, eighty-eight million, five hundred forty-five thousand, forty".