10820187463680 has 3360 divisors, whose sum is σ = 49464056885760. Its totient is φ = 2247370997760.

The previous prime is 10820187463633. The next prime is 10820187463727. The reversal of 10820187463680 is 8636478102801.

10820187463680 is a `hidden beast` number, since 1 + 0 + 8 + 20 + 1 + 87 + 463 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (10820187463633) and next prime (10820187463727).

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 95753871304 + ... + 95753871416.

Almost surely, 2^{10820187463680} is an apocalyptic number.

10820187463680 is a gapful number since it is divisible by the number (10) 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 10820187463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24732028442880).

10820187463680 is an abundant number, since it is smaller than the sum of its proper divisors (38643869422080).

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

10820187463680 is a wasteful number, since it uses less digits than its factorization.

10820187463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 10820187463680 in words is "ten trillion, eight hundred twenty billion, one hundred eighty-seven million, four hundred sixty-three thousand, six hundred eighty".