1051077636882 has 768 divisors, whose sum is σ = 3139922903040. Its totient is φ = 261100506240.

The previous prime is 1051077636823. The next prime is 1051077636883. The reversal of 1051077636882 is 2886367701501.

It is a happy number.

1051077636882 is a `hidden beast` number, since 1 + 0 + 510 + 7 + 7 + 63 + 68 + 8 + 2 = 666.

It is a super-2 number, since 2×1051077636882² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1051077636883) 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, 3714055113 + ... + 3714055395.

It is an arithmetic number, because the mean of its divisors is an integer number (4088441280).

Almost surely, 2^{1051077636882} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1051077636882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569961451520).

1051077636882 is an abundant number, since it is smaller than the sum of its proper divisors (2088845266158).

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

1051077636882 is a wasteful number, since it uses less digits than its factorization.

1051077636882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 1051077636882 in words is "one trillion, fifty-one billion, seventy-seven million, six hundred thirty-six thousand, eight hundred eighty-two".