51009970838640 has 640 divisors, whose sum is σ = 184853890022400. Its totient is φ = 11498666065920.

The previous prime is 51009970838639. The next prime is 51009970838677. The reversal of 51009970838640 is 4683807990015.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5827708504 + ... + 5827717256.

It is an arithmetic number, because the mean of its divisors is an integer number (288834203160).

Almost surely, 2^{51009970838640} 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 51009970838640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92426945011200).

51009970838640 is an abundant number, since it is smaller than the sum of its proper divisors (133843919183760).

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

51009970838640 is a wasteful number, since it uses less digits than its factorization.

51009970838640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10345 (or 10339 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 51009970838640 in words is "fifty-one trillion, nine billion, nine hundred seventy million, eight hundred thirty-eight thousand, six hundred forty".