1954735806500 has 24 divisors (see below), whose sum is σ = 4269143002488. Its totient is φ = 781894322400.

The previous prime is 1954735806493. The next prime is 1954735806509. The reversal of 1954735806500 is 56085374591.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 330247907584 + 1624487898916 = 574672^2 + 1274554^2 .

It is not an unprimeable number, because it can be changed into a prime (1954735806509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1954735307 + ... + 1954736306.

It is an arithmetic number, because the mean of its divisors is an integer number (177880958437).

Almost surely, 2^{1954735806500} is an apocalyptic number.

1954735806500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1954735806500 is an abundant number, since it is smaller than the sum of its proper divisors (2314407195988).

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

1954735806500 is a wasteful number, since it uses less digits than its factorization.

1954735806500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3909471632 (or 3909471620 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 53.

The spelling of 1954735806500 in words is "one trillion, nine hundred fifty-four billion, seven hundred thirty-five million, eight hundred six thousand, five hundred".