10553348265600 has 3072 divisors, whose sum is σ = 45217105920000. Its totient is φ = 2153730539520.

The previous prime is 10553348265533. The next prime is 10553348265617. The reversal of 10553348265600 is 656284335501.

It is a super-2 number, since 2×10553348265600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10553348265600.

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, 108797404752 + ... + 108797404848.

It is an arithmetic number, because the mean of its divisors is an integer number (14719110000).

Almost surely, 2^{10553348265600} is an apocalyptic number.

10553348265600 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 10553348265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22608552960000).

10553348265600 is an abundant number, since it is smaller than the sum of its proper divisors (34663757654400).

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

10553348265600 is a wasteful number, since it uses less digits than its factorization.

10553348265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 10553348265600 in words is "ten trillion, five hundred fifty-three billion, three hundred forty-eight million, two hundred sixty-five thousand, six hundred".