20648371200 has 528 divisors, whose sum is σ = 72127764480. Its totient is φ = 5202247680.

The previous prime is 20648371193. The next prime is 20648371213. The reversal of 20648371200 is 217384602.

It is a super-3 number, since 3×20648371200³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162585537 + ... + 162585663.

Almost surely, 2^20648371200 is an apocalyptic number.

20648371200 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 20648371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36063882240).

20648371200 is an abundant number, since it is smaller than the sum of its proper divisors (51479393280).

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

20648371200 is a wasteful number, since it uses less digits than its factorization.

20648371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 20648371200 in words is "twenty billion, six hundred forty-eight million, three hundred seventy-one thousand, two hundred".