13755156480 has 768 divisors, whose sum is σ = 54486432000. Its totient is φ = 3269984256.

The previous prime is 13755156451. The next prime is 13755156521. The reversal of 13755156480 is 8465155731.

13755156480 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 5 + 1 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×13755156480³ (a number of 31 digits) contains 333 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 63 ways as a sum of consecutive naturals, for example, 154552276 + ... + 154552364.

It is an arithmetic number, because the mean of its divisors is an integer number (70945875).

Almost surely, 2^13755156480 is an apocalyptic number.

13755156480 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 13755156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27243216000).

13755156480 is an abundant number, since it is smaller than the sum of its proper divisors (40731275520).

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

13755156480 is a wasteful number, since it uses less digits than its factorization.

13755156480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 13755156480 in words is "thirteen billion, seven hundred fifty-five million, one hundred fifty-six thousand, four hundred eighty".