13772054153088 has 512 divisors, whose sum is σ = 52423880832000. Its totient is φ = 3453804748800.

The previous prime is 13772054153029. The next prime is 13772054153107. The reversal of 13772054153088 is 88035145027731.

13772054153088 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 20 + 5 + 4 + 1 + 530 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 6824958 + ... + 8609538.

It is an arithmetic number, because the mean of its divisors is an integer number (102390392250).

Almost surely, 2^{13772054153088} is an apocalyptic number.

13772054153088 is a gapful number since it is divisible by the number (18) 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 13772054153088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26211940416000).

13772054153088 is an abundant number, since it is smaller than the sum of its proper divisors (38651826678912).

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

13772054153088 is a wasteful number, since it uses less digits than its factorization.

13772054153088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784651 (or 1784633 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 13772054153088 in words is "thirteen trillion, seven hundred seventy-two billion, fifty-four million, one hundred fifty-three thousand, eighty-eight".