215739786145520 has 960 divisors, whose sum is σ = 656277565297536. Its totient is φ = 65314219622400.

The previous prime is 215739786145451. The next prime is 215739786145537. The reversal of 215739786145520 is 25541687937512.

It is a super-2 number, since 2×215739786145520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 46385675195 + ... + 46385679845.

It is a 1-persistent number, because it is pandigital, but 2⋅215739786145520 = 431479572291040 is not.

Almost surely, 2^{215739786145520} is an apocalyptic number.

215739786145520 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 215739786145520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328138782648768).

215739786145520 is an abundant number, since it is smaller than the sum of its proper divisors (440537779152016).

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

215739786145520 is a wasteful number, since it uses less digits than its factorization.

215739786145520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5138 (or 5125 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 65.

The spelling of 215739786145520 in words is "two hundred fifteen trillion, seven hundred thirty-nine billion, seven hundred eighty-six million, one hundred forty-five thousand, five hundred twenty".