51097284463104 has 1600 divisors, whose sum is σ = 180822840168960. Its totient is φ = 14196920647680.

The previous prime is 51097284463097. The next prime is 51097284463111. The reversal of 51097284463104 is 40136448279015.

51097284463104 is a `hidden beast` number, since 5 + 1 + 0 + 9 + 7 + 284 + 46 + 310 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (51097284463097) and next prime (51097284463111).

It is a super-2 number, since 2×51097284463104² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 90758941927 + ... + 90758942489.

It is a 1-persistent number, because it is pandigital, but 2⋅51097284463104 = 102194568926208 is not.

Almost surely, 2^{51097284463104} is an apocalyptic number.

51097284463104 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 51097284463104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90411420084480).

51097284463104 is an abundant number, since it is smaller than the sum of its proper divisors (129725555705856).

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

51097284463104 is a wasteful number, since it uses less digits than its factorization.

51097284463104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 51097284463104 in words is "fifty-one trillion, ninety-seven billion, two hundred eighty-four million, four hundred sixty-three thousand, one hundred four".