51526679040 has 800 divisors, whose sum is σ = 200207614464. Its totient is φ = 12616335360.

The previous prime is 51526679027. The next prime is 51526679041. The reversal of 51526679040 is 4097662515.

51526679040 is a `hidden beast` number, since 51 + 526 + 6 + 79 + 0 + 4 + 0 = 666.

It is a super-3 number, since 3×51526679040³ (a number of 33 digits) contains 333 as substring.

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 (51526679041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 165680485 + ... + 165680795.

Almost surely, 2^51526679040 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 51526679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100103807232).

51526679040 is an abundant number, since it is smaller than the sum of its proper divisors (148680935424).

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

51526679040 is a wasteful number, since it uses less digits than its factorization.

51526679040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 51526679040 in words is "fifty-one billion, five hundred twenty-six million, six hundred seventy-nine thousand, forty".