51878361600 has 720 divisors, whose sum is σ = 207506531232. Its totient is φ = 12760104960.

The previous prime is 51878361547. The next prime is 51878361629. The reversal of 51878361600 is 616387815.

51878361600 is a `hidden beast` number, since 5 + 1 + 8 + 7 + 8 + 36 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40434559 + ... + 40435841.

Almost surely, 2^51878361600 is an apocalyptic number.

51878361600 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 51878361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103753265616).

51878361600 is an abundant number, since it is smaller than the sum of its proper divisors (155628169632).

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

51878361600 is a wasteful number, since it uses less digits than its factorization.

51878361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 51878361600 in words is "fifty-one billion, eight hundred seventy-eight million, three hundred sixty-one thousand, six hundred".