51269894880 has 384 divisors, whose sum is σ = 174183851520. Its totient is φ = 12637347840.

The previous prime is 51269894843. The next prime is 51269894903. The reversal of 51269894880 is 8849896215.

It is a super-5 number, since 5×51269894880⁵ (a number of 55 digits) contains 55555 as substring.

It is a hoax number, since the sum of its digits (60) 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 (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87341947 + ... + 87342533.

It is an arithmetic number, because the mean of its divisors is an integer number (453603780).

Almost surely, 2^51269894880 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 51269894880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87091925760).

51269894880 is an abundant number, since it is smaller than the sum of its proper divisors (122913956640).

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

51269894880 is a wasteful number, since it uses less digits than its factorization.

51269894880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 60.

The spelling of 51269894880 in words is "fifty-one billion, two hundred sixty-nine million, eight hundred ninety-four thousand, eight hundred eighty".