53918695440 has 640 divisors, whose sum is σ = 198608716800. Its totient is φ = 13423656960.

The previous prime is 53918695429. The next prime is 53918695477. The reversal of 53918695440 is 4459681935.

53918695440 is a `hidden beast` number, since 5 + 3 + 91 + 8 + 6 + 9 + 544 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 393567052 + ... + 393567188.

It is an arithmetic number, because the mean of its divisors is an integer number (310326120).

Almost surely, 2^53918695440 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 53918695440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99304358400).

53918695440 is an abundant number, since it is smaller than the sum of its proper divisors (144690021360).

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

53918695440 is a wasteful number, since it uses less digits than its factorization.

53918695440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 53918695440 in words is "fifty-three billion, nine hundred eighteen million, six hundred ninety-five thousand, four hundred forty".