51207690240 has 384 divisors, whose sum is σ = 208039104000. Its totient is φ = 11704172544.

The previous prime is 51207690221. The next prime is 51207690271. The reversal of 51207690240 is 4209670215.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 51207690195 and 51207690204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1922131 + ... + 1948589.

It is an arithmetic number, because the mean of its divisors is an integer number (541768500).

Almost surely, 2^51207690240 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 51207690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104019552000).

51207690240 is an abundant number, since it is smaller than the sum of its proper divisors (156831413760).

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

51207690240 is a wasteful number, since it uses less digits than its factorization.

51207690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26502 (or 26476 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 51207690240 in words is "fifty-one billion, two hundred seven million, six hundred ninety thousand, two hundred forty".