10492764871680 has 4224 divisors, whose sum is σ = 51089850040320. Its totient is φ = 1926317998080.

The previous prime is 10492764871649. The next prime is 10492764871703. The reversal of 10492764871680 is 8617846729401.

10492764871680 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 2 + 76 + 487 + 1 + 6 + 80 = 666.

It is a super-2 number, since 2×10492764871680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 82620195777 + ... + 82620195903.

Almost surely, 2^{10492764871680} is an apocalyptic number.

10492764871680 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 10492764871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25544925020160).

10492764871680 is an abundant number, since it is smaller than the sum of its proper divisors (40597085168640).

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

10492764871680 is a wasteful number, since it uses less digits than its factorization.

10492764871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 10492764871680 in words is "ten trillion, four hundred ninety-two billion, seven hundred sixty-four million, eight hundred seventy-one thousand, six hundred eighty".