20190761280 has 672 divisors, whose sum is σ = 77645288448. Its totient is φ = 4792320000.

The previous prime is 20190761267. The next prime is 20190761299. The reversal of 20190761280 is 8216709102.

20190761280 is a `hidden beast` number, since 20 + 19 + 0 + 7 + 612 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80441155 + ... + 80441405.

It is an arithmetic number, because the mean of its divisors is an integer number (115543584).

Almost surely, 2^20190761280 is an apocalyptic number.

20190761280 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 20190761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38822644224).

20190761280 is an abundant number, since it is smaller than the sum of its proper divisors (57454527168).

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

20190761280 is a wasteful number, since it uses less digits than its factorization.

20190761280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 20190761280 in words is "twenty billion, one hundred ninety million, seven hundred sixty-one thousand, two hundred eighty".