1958098560 has 512 divisors, whose sum is σ = 7402752000. Its totient is φ = 435240960.

The previous prime is 1958098511. The next prime is 1958098577. The reversal of 1958098560 is 658908591.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14086971 + ... + 14087109.

It is an arithmetic number, because the mean of its divisors is an integer number (14458500).

Almost surely, 2^1958098560 is an apocalyptic number.

1958098560 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 1958098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701376000).

1958098560 is an abundant number, since it is smaller than the sum of its proper divisors (5444653440).

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

1958098560 is a wasteful number, since it uses less digits than its factorization.

1958098560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 51.

The square root of 1958098560 is about 44250.4074557512. The cubic root of 1958098560 is about 1251.0601267841.

The spelling of 1958098560 in words is "one billion, nine hundred fifty-eight million, ninety-eight thousand, five hundred sixty".