10111723305552 has 320 divisors, whose sum is σ = 32250722488320. Its totient is φ = 3045341162880.

The previous prime is 10111723305527. The next prime is 10111723305631. The reversal of 10111723305552 is 25550332711101.

10111723305552 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 1 + 72 + 3 + 30 + 5 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 62660073 + ... + 62821239.

It is an arithmetic number, because the mean of its divisors is an integer number (100783507776).

Almost surely, 2^{10111723305552} is an apocalyptic number.

10111723305552 is a gapful number since it is divisible by the number (12) 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 10111723305552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16125361244160).

10111723305552 is an abundant number, since it is smaller than the sum of its proper divisors (22138999182768).

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

10111723305552 is a wasteful number, since it uses less digits than its factorization.

10111723305552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161370 (or 161346 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 10111723305552 in words is "ten trillion, one hundred eleven billion, seven hundred twenty-three million, three hundred five thousand, five hundred fifty-two".