83172555950400 has 2352 divisors, whose sum is σ = 387466107081984. Its totient is φ = 17113988136960.

The previous prime is 83172555950371. The next prime is 83172555950401. The reversal of 83172555950400 is 405955527138.

83172555950400 is a `hidden beast` number, since 8 + 3 + 1 + 7 + 2 + 5 + 5 + 595 + 0 + 40 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83172555950401) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 3192423774 + ... + 3192449826.

Almost surely, 2^{83172555950400} is an apocalyptic number.

83172555950400 is a gapful number since it is divisible by the number (80) 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 83172555950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193733053540992).

83172555950400 is an abundant number, since it is smaller than the sum of its proper divisors (304293551131584).

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

83172555950400 is a wasteful number, since it uses less digits than its factorization.

83172555950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26140 (or 26110 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 83172555950400 in words is "eighty-three trillion, one hundred seventy-two billion, five hundred fifty-five million, nine hundred fifty thousand, four hundred".