10399553273088 has 576 divisors, whose sum is σ = 35471679344640. Its totient is φ = 2943898214400.

The previous prime is 10399553273063. The next prime is 10399553273129. The reversal of 10399553273088 is 88037235599301.

10399553273088 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 9 + 553 + 2 + 73 + 0 + 8 + 8 = 666.

10399553273088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 6471407581 + ... + 6471409187.

It is an arithmetic number, because the mean of its divisors is an integer number (61582776640).

Almost surely, 2^{10399553273088} is an apocalyptic number.

10399553273088 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 10399553273088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17735839672320).

10399553273088 is an abundant number, since it is smaller than the sum of its proper divisors (25072126071552).

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

10399553273088 is a wasteful number, since it uses less digits than its factorization.

10399553273088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 10399553273088 in words is "ten trillion, three hundred ninety-nine billion, five hundred fifty-three million, two hundred seventy-three thousand, eighty-eight".