7201181537856 has 840 divisors, whose sum is σ = 23630269126464. Its totient is φ = 2163964999680.

The previous prime is 7201181537843. The next prime is 7201181537873. The reversal of 7201181537856 is 6587351811027.

7201181537856 is a `hidden beast` number, since 7 + 20 + 1 + 1 + 8 + 1 + 537 + 85 + 6 = 666.

It is a super-2 number, since 2×7201181537856² (a number of 27 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 119 ways as a sum of consecutive naturals, for example, 12611526051 + ... + 12611526621.

Almost surely, 2^{7201181537856} is an apocalyptic number.

7201181537856 is a gapful number since it is divisible by the number (76) 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 7201181537856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11815134563232).

7201181537856 is an abundant number, since it is smaller than the sum of its proper divisors (16429087588608).

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

7201181537856 is a wasteful number, since it uses less digits than its factorization.

7201181537856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 7201181537856 in words is "seven trillion, two hundred one billion, one hundred eighty-one million, five hundred thirty-seven thousand, eight hundred fifty-six".