1051619682960 has 1440 divisors, whose sum is σ = 4592794542336. Its totient is φ = 210943180800.

The previous prime is 1051619682959. The next prime is 1051619682961. The reversal of 1051619682960 is 692869161501.

1051619682960 is a `hidden beast` number, since 1 + 0 + 516 + 1 + 9 + 68 + 2 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1051619682959) and next prime (1051619682961).

It is a super-2 number, since 2×1051619682960² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1051619682897 and 1051619682906.

It is not an unprimeable number, because it can be changed into a prime (1051619682961) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3425471127 + ... + 3425471433.

Almost surely, 2^{1051619682960} is an apocalyptic number.

1051619682960 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 1051619682960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296397271168).

1051619682960 is an abundant number, since it is smaller than the sum of its proper divisors (3541174859376).

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

1051619682960 is a wasteful number, since it uses less digits than its factorization.

1051619682960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 1051619682960 in words is "one trillion, fifty-one billion, six hundred nineteen million, six hundred eighty-two thousand, nine hundred sixty".