13757028660 has 480 divisors, whose sum is σ = 49001863680. Its totient is φ = 3209932800.

The previous prime is 13757028653. The next prime is 13757028661. The reversal of 13757028660 is 6682075731.

13757028660 is a `hidden beast` number, since 13 + 7 + 570 + 2 + 8 + 6 + 60 = 666.

It is a super-2 number, since 2×13757028660² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13757028661) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31918645 + ... + 31919075.

It is an arithmetic number, because the mean of its divisors is an integer number (102087216).

Almost surely, 2^13757028660 is an apocalyptic number.

13757028660 is a gapful number since it is divisible by the number (10) 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 13757028660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24500931840).

13757028660 is an abundant number, since it is smaller than the sum of its proper divisors (35244835020).

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

13757028660 is a wasteful number, since it uses less digits than its factorization.

13757028660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 13757028660 in words is "thirteen billion, seven hundred fifty-seven million, twenty-eight thousand, six hundred sixty".