55947311763840 has 1536 divisors, whose sum is σ = 232313163264000. Its totient is φ = 12602445004800.

The previous prime is 55947311763809. The next prime is 55947311763859. The reversal of 55947311763840 is 4836711374955.

55947311763840 is a `hidden beast` number, since 5 + 5 + 9 + 473 + 11 + 76 + 3 + 84 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 26278679896 + ... + 26278682024.

It is an arithmetic number, because the mean of its divisors is an integer number (151245549000).

Almost surely, 2^{55947311763840} 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 55947311763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116156581632000).

55947311763840 is an abundant number, since it is smaller than the sum of its proper divisors (176365851500160).

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

55947311763840 is a wasteful number, since it uses less digits than its factorization.

55947311763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510 (or 2486 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 55947311763840 in words is "fifty-five trillion, nine hundred forty-seven billion, three hundred eleven million, seven hundred sixty-three thousand, eight hundred forty".