13740556500 has 672 divisors, whose sum is σ = 51561619200. Its totient is φ = 3164832000.

The previous prime is 13740556409. The next prime is 13740556519. The reversal of 13740556500 is 565504731.

13740556500 is a `hidden beast` number, since 13 + 7 + 40 + 556 + 50 + 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 92218426 + ... + 92218574.

It is an arithmetic number, because the mean of its divisors is an integer number (76728600).

Almost surely, 2^13740556500 is an apocalyptic number.

13740556500 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 13740556500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25780809600).

13740556500 is an abundant number, since it is smaller than the sum of its proper divisors (37821062700).

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

13740556500 is a wasteful number, since it uses less digits than its factorization.

13740556500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 13740556500 in words is "thirteen billion, seven hundred forty million, five hundred fifty-six thousand, five hundred".