51199488000 has 624 divisors, whose sum is σ = 189768039552. Its totient is φ = 13271040000.

The previous prime is 51199487987. The next prime is 51199488019. The reversal of 51199488000 is 88499115.

51199488000 is a `hidden beast` number, since 511 + 99 + 48 + 8 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188927865 + ... + 188928135.

It is an arithmetic number, because the mean of its divisors is an integer number (304115448).

Almost surely, 2^51199488000 is an apocalyptic number.

51199488000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51199488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94884019776).

51199488000 is an abundant number, since it is smaller than the sum of its proper divisors (138568551552).

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

51199488000 is a wasteful number, since it uses less digits than its factorization.

51199488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 51199488000 in words is "fifty-one billion, one hundred ninety-nine million, four hundred eighty-eight thousand".