270021249641088 has 4096 divisors, whose sum is σ = 1034727063552000. Its totient is φ = 68223762432000.

The previous prime is 270021249641051. The next prime is 270021249641093. The reversal of 270021249641088 is 880146942120072.

270021249641088 is a `hidden beast` number, since 2 + 7 + 0 + 0 + 212 + 4 + 9 + 6 + 410 + 8 + 8 = 666.

It is a super-2 number, since 2×270021249641088² (a number of 30 digits) contains 22 as substring.

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 511 ways as a sum of consecutive naturals, for example, 2621565530445 + ... + 2621565530547.

It is an arithmetic number, because the mean of its divisors is an integer number (252618912000).

Almost surely, 2^{270021249641088} 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 270021249641088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517363531776000).

270021249641088 is an abundant number, since it is smaller than the sum of its proper divisors (764705813910912).

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

270021249641088 is a wasteful number, since it uses less digits than its factorization.

270021249641088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 270021249641088 in words is "two hundred seventy trillion, twenty-one billion, two hundred forty-nine million, six hundred forty-one thousand, eighty-eight".