215225137895040 has 3840 divisors, whose sum is σ = 1026666762105600. Its totient is φ = 42439193395200.

The previous prime is 215225137895003. The next prime is 215225137895059. The reversal of 215225137895040 is 40598731522512.

215225137895040 is a `hidden beast` number, since 2 + 1 + 5 + 2 + 2 + 51 + 3 + 7 + 89 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 84767678091 + ... + 84767680629.

It is an arithmetic number, because the mean of its divisors is an integer number (267361135965).

Almost surely, 2^{215225137895040} is an apocalyptic number.

215225137895040 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 215225137895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513333381052800).

215225137895040 is an abundant number, since it is smaller than the sum of its proper divisors (811441624210560).

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

215225137895040 is a wasteful number, since it uses less digits than its factorization.

215225137895040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 215225137895040 in words is "two hundred fifteen trillion, two hundred twenty-five billion, one hundred thirty-seven million, eight hundred ninety-five thousand, forty".