235400928813960 has 384 divisors, whose sum is σ = 884770521828480. Its totient is φ = 49662690803712.

The previous prime is 235400928813889. The next prime is 235400928813989. The reversal of 235400928813960 is 69318829004532.

It is a Cunningham number, because it is equal to 15342781²-1.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 235400928813894 and 235400928813903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 920439064 + ... + 920694776.

It is an arithmetic number, because the mean of its divisors is an integer number (2304089900595).

Almost surely, 2^{235400928813960} is an apocalyptic number.

235400928813960 is a gapful number since it is divisible by the number (20) 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 235400928813960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442385260914240).

235400928813960 is an abundant number, since it is smaller than the sum of its proper divisors (649369593014520).

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

235400928813960 is a wasteful number, since it uses less digits than its factorization.

235400928813960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267797 (or 267786 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 235400928813960 in words is "two hundred thirty-five trillion, four hundred billion, nine hundred twenty-eight million, eight hundred thirteen thousand, nine hundred sixty".