1953581354660 has 96 divisors (see below), whose sum is σ = 4479683800032. Its totient is φ = 711272448000.

The previous prime is 1953581354657. The next prime is 1953581354663. The reversal of 1953581354660 is 664531853591.

It is an interprime number because it is at equal distance from previous prime (1953581354657) and next prime (1953581354663).

It can be written as a sum of positive squares in 16 ways, for example, as 1493973287524 + 459608067136 = 1222282^2 + 677944^2 .

It is a super-5 number, since 5×1953581354660⁵ (a number of 63 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1953581354596 and 1953581354605.

It is not an unprimeable number, because it can be changed into a prime (1953581354663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102805160 + ... + 102824160.

It is an arithmetic number, because the mean of its divisors is an integer number (46663372917).

Almost surely, 2^{1953581354660} is an apocalyptic number.

1953581354660 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 1953581354660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239841900016).

1953581354660 is an abundant number, since it is smaller than the sum of its proper divisors (2526102445372).

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

1953581354660 is a wasteful number, since it uses less digits than its factorization.

1953581354660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24513 (or 24511 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 56.

The spelling of 1953581354660 in words is "one trillion, nine hundred fifty-three billion, five hundred eighty-one million, three hundred fifty-four thousand, six hundred sixty".