20035952640 has 784 divisors, whose sum is σ = 79935147216. Its totient is φ = 4777574400.

The previous prime is 20035952617. The next prime is 20035952687. The reversal of 20035952640 is 4625953002.

20035952640 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 5 + 9 + 5 + 2 + 640 = 666.

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 = 20035952595 and 20035952604.

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 55 ways as a sum of consecutive naturals, for example, 328458210 + ... + 328458270.

Almost surely, 2^20035952640 is an apocalyptic number.

20035952640 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 20035952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39967573608).

20035952640 is an abundant number, since it is smaller than the sum of its proper divisors (59899194576).

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

20035952640 is an frugal number, since it uses more digits than its factorization.

20035952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 20035952640 in words is "twenty billion, thirty-five million, nine hundred fifty-two thousand, six hundred forty".