51153648353280 has 864 divisors, whose sum is σ = 200624857812288. Its totient is φ = 12400459776000.

The previous prime is 51153648353267. The next prime is 51153648353333. The reversal of 51153648353280 is 8235384635115.

51153648353280 is a `hidden beast` number, since 5 + 1 + 1 + 5 + 3 + 6 + 4 + 8 + 353 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 47 ways as a sum of consecutive naturals, for example, 1751762680 + ... + 1751791880.

It is an arithmetic number, because the mean of its divisors is an integer number (232204696542).

Almost surely, 2^{51153648353280} 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 51153648353280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100312428906144).

51153648353280 is an abundant number, since it is smaller than the sum of its proper divisors (149471209459008).

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

51153648353280 is an frugal number, since it uses more digits than its factorization.

51153648353280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29266 (or 29222 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 51153648353280 in words is "fifty-one trillion, one hundred fifty-three billion, six hundred forty-eight million, three hundred fifty-three thousand, two hundred eighty".