55703236982400 has 3072 divisors, whose sum is σ = 248456097792000. Its totient is φ = 11914129244160.

The previous prime is 55703236982399. The next prime is 55703236982461. The reversal of 55703236982400 is 428963230755.

55703236982400 is a `hidden beast` number, since 5 + 5 + 7 + 0 + 32 + 369 + 8 + 240 + 0 = 666.

It is a super-2 number, since 2×55703236982400² (a number of 28 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 383 ways as a sum of consecutive naturals, for example, 190113436654 + ... + 190113436946.

It is an arithmetic number, because the mean of its divisors is an integer number (80877636000).

Almost surely, 2^{55703236982400} is an apocalyptic number.

55703236982400 is a gapful number since it is divisible by the number (50) 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 55703236982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124228048896000).

55703236982400 is an abundant number, since it is smaller than the sum of its proper divisors (192752860809600).

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

55703236982400 is a wasteful number, since it uses less digits than its factorization.

55703236982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 55703236982400 in words is "fifty-five trillion, seven hundred three billion, two hundred thirty-six million, nine hundred eighty-two thousand, four hundred".