7213485121920 has 1728 divisors, whose sum is σ = 33528794972400. Its totient is φ = 1419888476160.

The previous prime is 7213485121889. The next prime is 7213485121933. The reversal of 7213485121920 is 291215843127.

7213485121920 is a `hidden beast` number, since 7 + 2 + 1 + 3 + 48 + 512 + 1 + 92 + 0 = 666.

It is a super-2 number, since 2×7213485121920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 648864202 + ... + 648875318.

Almost surely, 2^{7213485121920} is an apocalyptic number.

7213485121920 is a gapful number since it is divisible by the number (70) 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 7213485121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16764397486200).

7213485121920 is an abundant number, since it is smaller than the sum of its proper divisors (26315309850480).

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

7213485121920 is a wasteful number, since it uses less digits than its factorization.

7213485121920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11197 (or 11164 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 7213485121920 in words is "seven trillion, two hundred thirteen billion, four hundred eighty-five million, one hundred twenty-one thousand, nine hundred twenty".