20754455040 has 640 divisors, whose sum is σ = 81657987840. Its totient is φ = 5016453120.

The previous prime is 20754454993. The next prime is 20754455069. The reversal of 20754455040 is 4055445702.

It is a happy number.

20754455040 is a `hidden beast` number, since 20 + 7 + 5 + 44 + 550 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 20754454986 and 20754455004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61585752 + ... + 61586088.

It is an arithmetic number, because the mean of its divisors is an integer number (127590606).

Almost surely, 2^20754455040 is an apocalyptic number.

20754455040 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 20754455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40828993920).

20754455040 is an abundant number, since it is smaller than the sum of its proper divisors (60903532800).

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

20754455040 is an frugal number, since it uses more digits than its factorization.

20754455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The spelling of 20754455040 in words is "twenty billion, seven hundred fifty-four million, four hundred fifty-five thousand, forty".