10820779515 has 72 divisors (see below), whose sum is σ = 23496612048. Its totient is φ = 4566119040.

The previous prime is 10820779513. The next prime is 10820779559. The reversal of 10820779515 is 51597702801.

10820779515 is a `hidden beast` number, since 108 + 20 + 7 + 7 + 9 + 515 = 666.

It is not a de Polignac number, because 10820779515 - 2¹ = 10820779513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10820779511) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 160081 + ... + 217410.

It is an arithmetic number, because the mean of its divisors is an integer number (326341834).

Almost surely, 2^10820779515 is an apocalyptic number.

10820779515 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10820779515 is an abundant number, since it is smaller than the sum of its proper divisors (12675832533).

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

10820779515 is a wasteful number, since it uses less digits than its factorization.

10820779515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377529 (or 377519 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The spelling of 10820779515 in words is "ten billion, eight hundred twenty million, seven hundred seventy-nine thousand, five hundred fifteen".