53977328640 has 704 divisors, whose sum is σ = 201397288320. Its totient is φ = 13695713280.

The previous prime is 53977328621. The next prime is 53977328689. The reversal of 53977328640 is 4682377935.

53977328640 is a `hidden beast` number, since 539 + 77 + 32 + 8 + 6 + 4 + 0 = 666.

It is a super-4 number, since 4×53977328640⁴ (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 312007594 + ... + 312007766.

Almost surely, 2^53977328640 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 53977328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100698644160).

53977328640 is an abundant number, since it is smaller than the sum of its proper divisors (147419959680).

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

53977328640 is a wasteful number, since it uses less digits than its factorization.

53977328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 53977328640 in words is "fifty-three billion, nine hundred seventy-seven million, three hundred twenty-eight thousand, six hundred forty".