51579253440 has 896 divisors, whose sum is σ = 216295833600. Its totient is φ = 11406458880.

The previous prime is 51579253409. The next prime is 51579253441. The reversal of 51579253440 is 4435297515.

51579253440 is a `hidden beast` number, since 5 + 1 + 5 + 79 + 2 + 534 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (51579253441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 134671489 + ... + 134671871.

It is an arithmetic number, because the mean of its divisors is an integer number (241401600).

Almost surely, 2^51579253440 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 51579253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108147916800).

51579253440 is an abundant number, since it is smaller than the sum of its proper divisors (164716580160).

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

51579253440 is a wasteful number, since it uses less digits than its factorization.

51579253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 51579253440 in words is "fifty-one billion, five hundred seventy-nine million, two hundred fifty-three thousand, four hundred forty".