651056117040 has 480 divisors, whose sum is σ = 2640287010816. Its totient is φ = 146003420160.

The previous prime is 651056117029. The next prime is 651056117053. The reversal of 651056117040 is 40711650156.

It is a happy number.

651056117040 is a `hidden beast` number, since 6 + 51 + 0 + 561 + 1 + 7 + 0 + 40 = 666.

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 = 651056116986 and 651056117004.

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, 7167105 + ... + 7257375.

Almost surely, 2^651056117040 is an apocalyptic number.

651056117040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 651056117040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320143505408).

651056117040 is an abundant number, since it is smaller than the sum of its proper divisors (1989230893776).

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

651056117040 is a wasteful number, since it uses less digits than its factorization.

651056117040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90359 (or 90341 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Adding to 651056117040 its reverse (40711650156), we get a palindrome (691767767196).

The spelling of 651056117040 in words is "six hundred fifty-one billion, fifty-six million, one hundred seventeen thousand, forty".