1958299663320 has 1024 divisors, whose sum is σ = 8804804198400. Its totient is φ = 373887498240.

The previous prime is 1958299663259. The next prime is 1958299663379. The reversal of 1958299663320 is 233669928591.

1958299663320 is a `hidden beast` number, since 1 + 9 + 5 + 8 + 299 + 6 + 6 + 332 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 241076779 + ... + 241084901.

It is an arithmetic number, because the mean of its divisors is an integer number (8598441600).

Almost surely, 2^{1958299663320} is an apocalyptic number.

1958299663320 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 1958299663320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402402099200).

1958299663320 is an abundant number, since it is smaller than the sum of its proper divisors (6846504535080).

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

1958299663320 is a wasteful number, since it uses less digits than its factorization.

1958299663320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8397 (or 8387 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 1958299663320 in words is "one trillion, nine hundred fifty-eight billion, two hundred ninety-nine million, six hundred sixty-three thousand, three hundred twenty".