53774461440 has 960 divisors, whose sum is σ = 225854044416. Its totient is φ = 12007636992.

The previous prime is 53774461423. The next prime is 53774461459. The reversal of 53774461440 is 4416447735.

53774461440 is a `hidden beast` number, since 537 + 74 + 4 + 6 + 1 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 230791564 + ... + 230791796.

Almost surely, 2^53774461440 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 53774461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112927022208).

53774461440 is an abundant number, since it is smaller than the sum of its proper divisors (172079582976).

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

53774461440 is an equidigital number, since it uses as much as digits as its factorization.

53774461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 53774461440 in words is "fifty-three billion, seven hundred seventy-four million, four hundred sixty-one thousand, four hundred forty".