11477307287040 has 640 divisors, whose sum is σ = 43596809625600. Its totient is φ = 2573855391744.

The previous prime is 11477307287011. The next prime is 11477307287099. The reversal of 11477307287040 is 4078270377411.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×11477307287040² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139573617 + ... + 139655823.

It is an arithmetic number, because the mean of its divisors is an integer number (68120015040).

Almost surely, 2^{11477307287040} is an apocalyptic number.

11477307287040 is a gapful number since it is divisible by the number (10) 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 11477307287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21798404812800).

11477307287040 is an abundant number, since it is smaller than the sum of its proper divisors (32119502338560).

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

11477307287040 is an frugal number, since it uses more digits than its factorization.

11477307287040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82307 (or 82277 counting only the distinct ones).

The product of its (nonzero) digits is 1843968, while the sum is 51.

The spelling of 11477307287040 in words is "eleven trillion, four hundred seventy-seven billion, three hundred seven million, two hundred eighty-seven thousand, forty".