53948658961440 has 288 divisors, whose sum is σ = 185126497920000. Its totient is φ = 14306129879040.

The previous prime is 53948658961429. The next prime is 53948658961459. The reversal of 53948658961440 is 4416985684935.

53948658961440 is a `hidden beast` number, since 5 + 3 + 9 + 48 + 6 + 5 + 89 + 61 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 849566811 + ... + 849630309.

It is an arithmetic number, because the mean of its divisors is an integer number (642800340000).

Almost surely, 2^{53948658961440} 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 53948658961440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92563248960000).

53948658961440 is an abundant number, since it is smaller than the sum of its proper divisors (131177838958560).

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

53948658961440 is a wasteful number, since it uses less digits than its factorization.

53948658961440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66800 (or 66789 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 72.

The spelling of 53948658961440 in words is "fifty-three trillion, nine hundred forty-eight billion, six hundred fifty-eight million, nine hundred sixty-one thousand, four hundred forty".