1955510000640 has 528 divisors, whose sum is σ = 8084174522400. Its totient is φ = 446972166144.

The previous prime is 1955510000603. The next prime is 1955510000651. The reversal of 1955510000640 is 460000155591.

1955510000640 is a `hidden beast` number, since 1 + 9 + 5 + 5 + 5 + 1 + 0 + 0 + 0 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1955510000595 and 1955510000604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6629416 + ... + 6918104.

Almost surely, 2^{1955510000640} is an apocalyptic number.

1955510000640 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 1955510000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4042087261200).

1955510000640 is an abundant number, since it is smaller than the sum of its proper divisors (6128664521760).

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

1955510000640 is a wasteful number, since it uses less digits than its factorization.

1955510000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288737 (or 288706 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 1955510000640 in words is "one trillion, nine hundred fifty-five billion, five hundred ten million, six hundred forty", and thus it is an aban number.