10276506162048 has 384 divisors, whose sum is σ = 32167831294080. Its totient is φ = 2898045997056.

The previous prime is 10276506162031. The next prime is 10276506162059. The reversal of 10276506162048 is 84026160567201.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10276506162048² (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 junction number, because it is equal to n+sod(n) for n = 10276506161988 and 10276506162006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557678211 + ... + 557696637.

It is an arithmetic number, because the mean of its divisors is an integer number (83770393995).

Almost surely, 2^{10276506162048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10276506162048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16083915647040).

10276506162048 is an abundant number, since it is smaller than the sum of its proper divisors (21891325132032).

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

10276506162048 is a wasteful number, since it uses less digits than its factorization.

10276506162048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18842 (or 18823 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 10276506162048 in words is "ten trillion, two hundred seventy-six billion, five hundred six million, one hundred sixty-two thousand, forty-eight".