51158916480 has 512 divisors, whose sum is σ = 191942784000. Its totient is φ = 11584634880.

The previous prime is 51158916463. The next prime is 51158916509. The reversal of 51158916480 is 8461985115.

51158916480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 86271064 + ... + 86271656.

It is an arithmetic number, because the mean of its divisors is an integer number (374888250).

Almost surely, 2^51158916480 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 51158916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95971392000).

51158916480 is an abundant number, since it is smaller than the sum of its proper divisors (140783867520).

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

51158916480 is a wasteful number, since it uses less digits than its factorization.

51158916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 48.

The spelling of 51158916480 in words is "fifty-one billion, one hundred fifty-eight million, nine hundred sixteen thousand, four hundred eighty".