20751177040 has 80 divisors (see below), whose sum is σ = 52784121600. Its totient is φ = 7524149760.

The previous prime is 20751177037. The next prime is 20751177107. The reversal of 20751177040 is 4077115702.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×20751177040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20751176987 and 20751177005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273337 + ... + 340903.

It is an arithmetic number, because the mean of its divisors is an integer number (659801520).

Almost surely, 2^20751177040 is an apocalyptic number.

20751177040 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 20751177040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26392060800).

20751177040 is an abundant number, since it is smaller than the sum of its proper divisors (32032944560).

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

20751177040 is a wasteful number, since it uses less digits than its factorization.

20751177040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67940 (or 67934 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 34.

It can be divided in two parts, 20751 and 177040, that added together give a palindrome (197791).

The spelling of 20751177040 in words is "twenty billion, seven hundred fifty-one million, one hundred seventy-seven thousand, forty".