51246735540 has 288 divisors, whose sum is σ = 194121096960. Its totient is φ = 9829416960.

The previous prime is 51246735509. The next prime is 51246735563. The reversal of 51246735540 is 4553764215.

51246735540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 51246735492 and 51246735501.

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, 621876 + ... + 699444.

Almost surely, 2^51246735540 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 51246735540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97060548480).

51246735540 is an abundant number, since it is smaller than the sum of its proper divisors (142874361420).

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

51246735540 is a wasteful number, since it uses less digits than its factorization.

51246735540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77623 (or 77610 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 51246735540 in words is "fifty-one billion, two hundred forty-six million, seven hundred thirty-five thousand, five hundred forty".