1051963385088 has 864 divisors, whose sum is σ = 3772174855680. Its totient is φ = 256628736000.

The previous prime is 1051963385071. The next prime is 1051963385113. The reversal of 1051963385088 is 8805833691501.

It is a happy number.

It is a super-2 number, since 2×1051963385088² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1030326018 + ... + 1030327038.

It is an arithmetic number, because the mean of its divisors is an integer number (4365943120).

Almost surely, 2^{1051963385088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1051963385088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886087427840).

1051963385088 is an abundant number, since it is smaller than the sum of its proper divisors (2720211470592).

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

1051963385088 is a wasteful number, since it uses less digits than its factorization.

1051963385088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 57.

The spelling of 1051963385088 in words is "one trillion, fifty-one billion, nine hundred sixty-three million, three hundred eighty-five thousand, eighty-eight".