51201830615040 has 1152 divisors, whose sum is σ = 224074588308480. Its totient is φ = 10535889272832.

The previous prime is 51201830615003. The next prime is 51201830615051. The reversal of 51201830615040 is 4051603810215.

51201830615040 is a `hidden beast` number, since 5 + 1 + 2 + 0 + 1 + 8 + 30 + 615 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 51201830614986 and 51201830615004.

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, 252140427 + ... + 252343413.

It is an arithmetic number, because the mean of its divisors is an integer number (194509191240).

Almost surely, 2^{51201830615040} 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 51201830615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112037294154240).

51201830615040 is an abundant number, since it is smaller than the sum of its proper divisors (172872757693440).

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

51201830615040 is a wasteful number, since it uses less digits than its factorization.

51201830615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203067 (or 203044 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 51201830615040 in words is "fifty-one trillion, two hundred one billion, eight hundred thirty million, six hundred fifteen thousand, forty".