53780613120 has 576 divisors, whose sum is σ = 207189964800. Its totient is φ = 13226803200.

The previous prime is 53780613083. The next prime is 53780613157. The reversal of 53780613120 is 2131608735.

53780613120 is a `hidden beast` number, since 5 + 37 + 8 + 0 + 613 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53780613083) and next prime (53780613157).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×53780613120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46724545 + ... + 46725695.

It is an arithmetic number, because the mean of its divisors is an integer number (359704800).

Almost surely, 2^53780613120 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 53780613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103594982400).

53780613120 is an abundant number, since it is smaller than the sum of its proper divisors (153409351680).

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

53780613120 is a wasteful number, since it uses less digits than its factorization.

53780613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1174 counting only the distinct ones).

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

The spelling of 53780613120 in words is "fifty-three billion, seven hundred eighty million, six hundred thirteen thousand, one hundred twenty".