10553971626096 has 160 divisors (see below), whose sum is σ = 28416607887360. Its totient is φ = 3371571302400.

The previous prime is 10553971626091. The next prime is 10553971626227. The reversal of 10553971626096 is 69062617935501.

It is a super-2 number, since 2×10553971626096² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10553971626091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206959770 + ... + 207010758.

It is an arithmetic number, because the mean of its divisors is an integer number (177603799296).

Almost surely, 2^{10553971626096} is an apocalyptic number.

10553971626096 is a gapful number since it is divisible by the number (16) 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 10553971626096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14208303943680).

10553971626096 is an abundant number, since it is smaller than the sum of its proper divisors (17862636261264).

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

10553971626096 is a wasteful number, since it uses less digits than its factorization.

10553971626096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52375 (or 52369 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 60.

The spelling of 10553971626096 in words is "ten trillion, five hundred fifty-three billion, nine hundred seventy-one million, six hundred twenty-six thousand, ninety-six".