20751197760 has 224 divisors, whose sum is σ = 73634071680. Its totient is φ = 5501270016.

The previous prime is 20751197671. The next prime is 20751197777. The reversal of 20751197760 is 6779115702.

20751197760 is a `hidden beast` number, since 2 + 0 + 7 + 511 + 9 + 77 + 60 = 666.

It is a super-2 number, since 2×20751197760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1487779 + ... + 1501661.

Almost surely, 2^20751197760 is an apocalyptic number.

20751197760 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 20751197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36817035840).

20751197760 is an abundant number, since it is smaller than the sum of its proper divisors (52882873920).

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

20751197760 is a wasteful number, since it uses less digits than its factorization.

20751197760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14082 (or 14066 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 45.

The spelling of 20751197760 in words is "twenty billion, seven hundred fifty-one million, one hundred ninety-seven thousand, seven hundred sixty".