53948190965760 has 2160 divisors, whose sum is σ = 239229239348736. Its totient is φ = 11372155895808.

The previous prime is 53948190965759. The next prime is 53948190965783. The reversal of 53948190965760 is 6756909184935.

53948190965760 is a `hidden beast` number, since 5 + 3 + 9 + 48 + 1 + 9 + 0 + 9 + 6 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 143 ways as a sum of consecutive naturals, for example, 48910417369 + ... + 48910418471.

Almost surely, 2^{53948190965760} 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 53948190965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119614619674368).

53948190965760 is an abundant number, since it is smaller than the sum of its proper divisors (185281048382976).

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

53948190965760 is an frugal number, since it uses more digits than its factorization.

53948190965760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 53948190965760 in words is "fifty-three trillion, nine hundred forty-eight billion, one hundred ninety million, nine hundred sixty-five thousand, seven hundred sixty".