51098978367360 has 768 divisors, whose sum is σ = 220137672568320. Its totient is φ = 10610893209600.

The previous prime is 51098978367347. The next prime is 51098978367389. The reversal of 51098978367360 is 6376387989015.

51098978367360 is a `hidden beast` number, since 5 + 10 + 98 + 97 + 83 + 6 + 7 + 360 = 666.

It is a super-2 number, since 2×51098978367360² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 678991494 + ... + 679066746.

It is an arithmetic number, because the mean of its divisors is an integer number (286637594490).

Almost surely, 2^{51098978367360} 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 51098978367360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110068836284160).

51098978367360 is an abundant number, since it is smaller than the sum of its proper divisors (169038694200960).

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

51098978367360 is a wasteful number, since it uses less digits than its factorization.

51098978367360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76827 (or 76812 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 51098978367360 in words is "fifty-one trillion, ninety-eight billion, nine hundred seventy-eight million, three hundred sixty-seven thousand, three hundred sixty".