51392263104 has 840 divisors, whose sum is σ = 194243797440. Its totient is φ = 13314502656.

The previous prime is 51392263099. The next prime is 51392263121. The reversal of 51392263104 is 40136229315.

51392263104 is a `hidden beast` number, since 5 + 1 + 392 + 263 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 260874334 + ... + 260874530.

It is an arithmetic number, because the mean of its divisors is an integer number (231242616).

Almost surely, 2^51392263104 is an apocalyptic number.

51392263104 is a gapful number since it is divisible by the number (54) 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 51392263104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97121898720).

51392263104 is an abundant number, since it is smaller than the sum of its proper divisors (142851534336).

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

51392263104 is a wasteful number, since it uses less digits than its factorization.

51392263104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 51392263104 in words is "fifty-one billion, three hundred ninety-two million, two hundred sixty-three thousand, one hundred four".