5513400767952 has 480 divisors, whose sum is σ = 19717917972480. Its totient is φ = 1396594068480.

The previous prime is 5513400767951. The next prime is 5513400767957. The reversal of 5513400767952 is 2597670043155.

It is a happy number.

5513400767952 is a `hidden beast` number, since 5 + 51 + 3 + 400 + 76 + 79 + 52 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5513400767951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98111799 + ... + 98167977.

It is an arithmetic number, because the mean of its divisors is an integer number (41078995776).

Almost surely, 2^{5513400767952} 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 5513400767952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9858958986240).

5513400767952 is an abundant number, since it is smaller than the sum of its proper divisors (14204517204528).

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

5513400767952 is a wasteful number, since it uses less digits than its factorization.

5513400767952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56431 (or 56422 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 5513400767952 in words is "five trillion, five hundred thirteen billion, four hundred million, seven hundred sixty-seven thousand, nine hundred fifty-two".