10770625969152 has 2112 divisors, whose sum is σ = 38711291904000. Its totient is φ = 2640140697600.

The previous prime is 10770625969111. The next prime is 10770625969157. The reversal of 10770625969152 is 25196952607701.

It is a happy number.

10770625969152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10770625969157) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 151698957277 + ... + 151698957347.

Almost surely, 2^{10770625969152} is an apocalyptic number.

10770625969152 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 10770625969152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19355645952000).

10770625969152 is an abundant number, since it is smaller than the sum of its proper divisors (27940665934848).

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

10770625969152 is a wasteful number, since it uses less digits than its factorization.

10770625969152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 60.

The spelling of 10770625969152 in words is "ten trillion, seven hundred seventy billion, six hundred twenty-five million, nine hundred sixty-nine thousand, one hundred fifty-two".