51655155610400 has 36 divisors (see below), whose sum is σ = 126103148635842. Its totient is φ = 20662062243840.

The previous prime is 51655155610367. The next prime is 51655155610411. The reversal of 51655155610400 is 401655155615.

It can be written as a sum of positive squares in 3 ways, for example, as 47420466607504 + 4234689002896 = 6886252^2 + 2057836^2 .

It is a super-2 number, since 2×51655155610400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32284471457 + ... + 32284473056.

Almost surely, 2^{51655155610400} is an apocalyptic number.

51655155610400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51655155610400 is an abundant number, since it is smaller than the sum of its proper divisors (74447993025442).

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

51655155610400 is a wasteful number, since it uses less digits than its factorization.

51655155610400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64568944533 (or 64568944520 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 44.

The spelling of 51655155610400 in words is "fifty-one trillion, six hundred fifty-five billion, one hundred fifty-five million, six hundred ten thousand, four hundred".