20692506240 has 640 divisors, whose sum is σ = 85307904000. Its totient is φ = 4682022912.

The previous prime is 20692506229. The next prime is 20692506283. The reversal of 20692506240 is 4260529602.

20692506240 is a `hidden beast` number, since 2 + 0 + 6 + 9 + 25 + 0 + 624 + 0 = 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 = 20692506195 and 20692506204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46085536 + ... + 46085984.

It is an arithmetic number, because the mean of its divisors is an integer number (133293600).

Almost surely, 2^20692506240 is an apocalyptic number.

20692506240 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 20692506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42653952000).

20692506240 is an abundant number, since it is smaller than the sum of its proper divisors (64615397760).

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

20692506240 is a wasteful number, since it uses less digits than its factorization.

20692506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 20692506240 in words is "twenty billion, six hundred ninety-two million, five hundred six thousand, two hundred forty".