87374057400 has 768 divisors, whose sum is σ = 364131456000. Its totient is φ = 18863953920.

The previous prime is 87374057387. The next prime is 87374057401. The reversal of 87374057400 is 475047378.

87374057400 is a `hidden beast` number, since 8 + 7 + 3 + 74 + 0 + 574 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87374057401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 259270032 + ... + 259270368.

It is an arithmetic number, because the mean of its divisors is an integer number (474129500).

Almost surely, 2^87374057400 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 87374057400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182065728000).

87374057400 is an abundant number, since it is smaller than the sum of its proper divisors (276757398600).

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

87374057400 is a wasteful number, since it uses less digits than its factorization.

87374057400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 87374057400 in words is "eighty-seven billion, three hundred seventy-four million, fifty-seven thousand, four hundred".