13277764500 has 768 divisors, whose sum is σ = 53539799040. Its totient is φ = 2467584000.

The previous prime is 13277764481. The next prime is 13277764523. The reversal of 13277764500 is 546777231.

It is a super-3 number, since 3×13277764500³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 55555381 + ... + 55555619.

It is an arithmetic number, because the mean of its divisors is an integer number (69713280).

Almost surely, 2^13277764500 is an apocalyptic number.

13277764500 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 13277764500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26769899520).

13277764500 is an abundant number, since it is smaller than the sum of its proper divisors (40262034540).

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

13277764500 is a wasteful number, since it uses less digits than its factorization.

13277764500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

It can be divided in two parts, 13277 and 764500, that added together give a palindrome (777777).

The spelling of 13277764500 in words is "thirteen billion, two hundred seventy-seven million, seven hundred sixty-four thousand, five hundred".