11477239764480 has 1120 divisors, whose sum is σ = 47293093387584. Its totient is φ = 2615578656768.

The previous prime is 11477239764469. The next prime is 11477239764491. The reversal of 11477239764480 is 8446793277411.

It is a happy number.

11477239764480 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 7 + 2 + 3 + 97 + 64 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (11477239764469) and next prime (11477239764491).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×11477239764480² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5186279854 + ... + 5186282066.

Almost surely, 2^{11477239764480} is an apocalyptic number.

11477239764480 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 11477239764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23646546693792).

11477239764480 is an abundant number, since it is smaller than the sum of its proper divisors (35815853623104).

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

11477239764480 is an frugal number, since it uses more digits than its factorization.

11477239764480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 11477239764480 in words is "eleven trillion, four hundred seventy-seven billion, two hundred thirty-nine million, seven hundred sixty-four thousand, four hundred eighty".