10348996553280 has 2688 divisors, whose sum is σ = 49257935032320. Its totient is φ = 1985679360000.

The previous prime is 10348996553237. The next prime is 10348996553359. The reversal of 10348996553280 is 8235569984301.

10348996553280 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 8 + 9 + 96 + 5 + 532 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9846808755 + ... + 9846809805.

It is an arithmetic number, because the mean of its divisors is an integer number (18325124640).

Almost surely, 2^{10348996553280} is an apocalyptic number.

10348996553280 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 10348996553280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24628967516160).

10348996553280 is an abundant number, since it is smaller than the sum of its proper divisors (38908938479040).

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

10348996553280 is a wasteful number, since it uses less digits than its factorization.

10348996553280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

It can be divided in two parts, 103489965 and 53280, that added together give a triangular number (103543245 = T₁₄₃₉₀).

The spelling of 10348996553280 in words is "ten trillion, three hundred forty-eight billion, nine hundred ninety-six million, five hundred fifty-three thousand, two hundred eighty".