10948736196552 has 1152 divisors, whose sum is σ = 37113388341120. Its totient is φ = 2678576947200.

The previous prime is 10948736196547. The next prime is 10948736196583. The reversal of 10948736196552 is 25569163784901.

10948736196552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23444831023 + ... + 23444831489.

It is an arithmetic number, because the mean of its divisors is an integer number (32216482935).

It is a 1-persistent number, because it is pandigital, but 2⋅10948736196552 = 21897472393104 is not.

Almost surely, 2^{10948736196552} is an apocalyptic number.

10948736196552 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 10948736196552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18556694170560).

10948736196552 is an abundant number, since it is smaller than the sum of its proper divisors (26164652144568).

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

10948736196552 is a wasteful number, since it uses less digits than its factorization.

10948736196552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 66.

The spelling of 10948736196552 in words is "ten trillion, nine hundred forty-eight billion, seven hundred thirty-six million, one hundred ninety-six thousand, five hundred fifty-two".