13455401760 has 288 divisors, whose sum is σ = 49461572160. Its totient is φ = 3319916544.

The previous prime is 13455401737. The next prime is 13455401783. The reversal of 13455401760 is 6710455431.

13455401760 is a `hidden beast` number, since 1 + 3 + 45 + 540 + 1 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13455401737) and next prime (13455401783).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13455401760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1170762 + ... + 1182198.

It is an arithmetic number, because the mean of its divisors is an integer number (171741570).

Almost surely, 2^13455401760 is an apocalyptic number.

13455401760 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 13455401760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24730786080).

13455401760 is an abundant number, since it is smaller than the sum of its proper divisors (36006170400).

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

13455401760 is a wasteful number, since it uses less digits than its factorization.

13455401760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11520 (or 11509 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 13455401760 in words is "thirteen billion, four hundred fifty-five million, four hundred one thousand, seven hundred sixty".