215440791552 has 768 divisors, whose sum is σ = 766846080000. Its totient is φ = 59695792128.

The previous prime is 215440791509. The next prime is 215440791569. The reversal of 215440791552 is 255197044512.

215440791552 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 4 + 0 + 7 + 91 + 552 = 666.

215440791552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 215440791498 and 215440791507.

It is a congruent number.

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, 701761383 + ... + 701761689.

It is an arithmetic number, because the mean of its divisors is an integer number (998497500).

Almost surely, 2^215440791552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215440791552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383423040000).

215440791552 is an abundant number, since it is smaller than the sum of its proper divisors (551405288448).

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

215440791552 is an equidigital number, since it uses as much as digits as its factorization.

215440791552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 215440791552 in words is "two hundred fifteen billion, four hundred forty million, seven hundred ninety-one thousand, five hundred fifty-two".