10777305315348 has 192 divisors, whose sum is σ = 32831866045440. Its totient is φ = 3014090352000.

The previous prime is 10777305315347. The next prime is 10777305315391. The reversal of 10777305315348 is 84351350377701.

10777305315348 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 73 + 0 + 5 + 31 + 534 + 8 = 666.

It is a super-2 number, since 2×10777305315348² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10777305315294 and 10777305315303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10777305315347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90303211 + ... + 90422477.

It is an arithmetic number, because the mean of its divisors is an integer number (170999302320).

Almost surely, 2^{10777305315348} is an apocalyptic number.

10777305315348 is a gapful number since it is divisible by the number (18) 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 10777305315348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16415933022720).

10777305315348 is an abundant number, since it is smaller than the sum of its proper divisors (22054560730092).

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

10777305315348 is a wasteful number, since it uses less digits than its factorization.

10777305315348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125155 (or 125147 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 10777305315348 in words is "ten trillion, seven hundred seventy-seven billion, three hundred five million, three hundred fifteen thousand, three hundred forty-eight".