10022777856000 has 5376 divisors, whose sum is σ = 50905593123840. Its totient is φ = 1834588569600.

The previous prime is 10022777855999. The next prime is 10022777856001. The reversal of 10022777856000 is 65877722001.

10022777856000 is a `hidden beast` number, since 10 + 0 + 2 + 2 + 7 + 7 + 78 + 560 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10022777855999) and next prime (10022777856001).

It is a tau number, because it is divible by the number of its divisors (5376).

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 (10022777856001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 270885887982 + ... + 270885888018.

It is an arithmetic number, because the mean of its divisors is an integer number (9469046340).

Almost surely, 2^{10022777856000} is an apocalyptic number.

10022777856000 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 10022777856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25452796561920).

10022777856000 is an abundant number, since it is smaller than the sum of its proper divisors (40882815267840).

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

10022777856000 is a wasteful number, since it uses less digits than its factorization.

10022777856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 10022777856000 in words is "ten trillion, twenty-two billion, seven hundred seventy-seven million, eight hundred fifty-six thousand".