10190821476960 has 192 divisors, whose sum is σ = 37765985745600. Its totient is φ = 2557696352256.

The previous prime is 10190821476883. The next prime is 10190821477007. The reversal of 10190821476960 is 6967412809101.

10190821476960 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 0 + 82 + 1 + 476 + 96 + 0 = 666.

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 = 10190821476897 and 10190821476906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69308515 + ... + 69455394.

It is an arithmetic number, because the mean of its divisors is an integer number (196697842425).

Almost surely, 2^{10190821476960} is an apocalyptic number.

10190821476960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10190821476960 is an abundant number, since it is smaller than the sum of its proper divisors (27575164268640).

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

10190821476960 is a wasteful number, since it uses less digits than its factorization.

10190821476960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138763950 (or 138763936 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 10190821476960 in words is "ten trillion, one hundred ninety billion, eight hundred twenty-one million, four hundred seventy-six thousand, nine hundred sixty".