10820308402176 has 1536 divisors, whose sum is σ = 38684314368000. Its totient is φ = 2625669955584.

The previous prime is 10820308402153. The next prime is 10820308402201. The reversal of 10820308402176 is 67120480302801.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130365161431 + ... + 130365161513.

It is an arithmetic number, because the mean of its divisors is an integer number (25185100500).

Almost surely, 2^{10820308402176} is an apocalyptic number.

10820308402176 is a gapful number since it is divisible by the number (16) 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 10820308402176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19342157184000).

10820308402176 is an abundant number, since it is smaller than the sum of its proper divisors (27864005965824).

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

10820308402176 is an equidigital number, since it uses as much as digits as its factorization.

10820308402176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

Adding to 10820308402176 its reverse (67120480302801), we get a palindrome (77940788704977).

The spelling of 10820308402176 in words is "ten trillion, eight hundred twenty billion, three hundred eight million, four hundred two thousand, one hundred seventy-six".