53901640371096 has 1536 divisors, whose sum is σ = 193312604160000. Its totient is φ = 13212889620480.

The previous prime is 53901640371079. The next prime is 53901640371101. The reversal of 53901640371096 is 69017304610935.

53901640371096 is a `hidden beast` number, since 5 + 390 + 164 + 0 + 3 + 7 + 1 + 0 + 96 = 666.

It is a super-3 number, since 3×53901640371096³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 65020072410 + ... + 65020073238.

It is an arithmetic number, because the mean of its divisors is an integer number (125854560000).

Almost surely, 2^{53901640371096} is an apocalyptic number.

53901640371096 is a gapful number since it is divisible by the number (56) 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 53901640371096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96656302080000).

53901640371096 is an abundant number, since it is smaller than the sum of its proper divisors (139410963788904).

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

53901640371096 is a wasteful number, since it uses less digits than its factorization.

53901640371096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 53901640371096 in words is "fifty-three trillion, nine hundred one billion, six hundred forty million, three hundred seventy-one thousand, ninety-six".