1958649640860 has 768 divisors, whose sum is σ = 6505085583360. Its totient is φ = 435907584000.

The previous prime is 1958649640813. The next prime is 1958649640867. The reversal of 1958649640860 is 680469468591.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 1958649640791 and 1958649640800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1958649640867) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4194110347 + ... + 4194110813.

It is an arithmetic number, because the mean of its divisors is an integer number (8470163520).

Almost surely, 2^{1958649640860} is an apocalyptic number.

1958649640860 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 1958649640860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252542791680).

1958649640860 is an abundant number, since it is smaller than the sum of its proper divisors (4546435942500).

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

1958649640860 is a wasteful number, since it uses less digits than its factorization.

1958649640860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 66.

The spelling of 1958649640860 in words is "one trillion, nine hundred fifty-eight billion, six hundred forty-nine million, six hundred forty thousand, eight hundred sixty".