1953359381064 has 256 divisors, whose sum is σ = 6059563130880. Its totient is φ = 510959093760.

The previous prime is 1953359381023. The next prime is 1953359381107. The reversal of 1953359381064 is 4601839533591.

It is a super-2 number, since 2×1953359381064² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1953359380995 and 1953359381013.

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, 461675829 + ... + 461680059.

It is an arithmetic number, because the mean of its divisors is an integer number (23670168480).

Almost surely, 2^{1953359381064} is an apocalyptic number.

1953359381064 is a gapful number since it is divisible by the number (14) 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 1953359381064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029781565440).

1953359381064 is an abundant number, since it is smaller than the sum of its proper divisors (4106203749816).

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

1953359381064 is a wasteful number, since it uses less digits than its factorization.

1953359381064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5940 (or 5936 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 57.

The spelling of 1953359381064 in words is "one trillion, nine hundred fifty-three billion, three hundred fifty-nine million, three hundred eighty-one thousand, sixty-four".